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Given the following shapes: a rectangle with width 7 and height 4, a trapezoid with bases 3 and 2 and height 1, a rectangle with width 8 and height 6, a square with side 6. What is the total area of all shapes? Please round the result to the nearest integer. | <think>Rectangle with width 7 and height 4: Area = 7 x 4 = 28
Trapezoid with bases 3, 2 and height 1: Area = 0.5 x (3 + 2) x 1 = 2.5
Rectangle with width 8 and height 6: Area = 8 x 6 = 48
Square with side 6: Area = 6^2 = 36</think>
<answer>114</answer> |
There are 4 shapes on a 8x8 grid: a cyan right_triangle at position (5, 1), a red trapezoid at position (3, 3), a blue rectangle at position (1, 6), a orange trapezoid at position (3, 5). Which shape is closest to the red trapezoid at position (3, 3) in terms of Manhattan distance? The final answer should be the grid position of the closest shape like (row_index, column_index). | <think>Target shape: red trapezoid at (3, 3)
Distance from target to cyan right_triangle at (5, 1): 4
Distance from target to blue rectangle at (1, 6): 5
Distance from target to orange trapezoid at (3, 5): 2
Closest shape is the orange trapezoid at (3, 5) with distance 2</think>
<answer>(3, 5)</answer> |
Given the following shapes: a square with side 6, a rectangle with width 6 and height 6. What is the total area of all shapes? Please round the result to the nearest integer. | <think>Square with side 6: Area = 6^2 = 36
Rectangle with width 6 and height 6: Area = 6 x 6 = 36</think>
<answer>72</answer> |
Given the following shapes: a right_triangle with base 9 and height 4, a right_triangle with base 9 and height 5, a rectangle with width 8 and height 5. What is the total area of all shapes? Please round the result to the nearest integer. | <think>Right triangle with base 9 and height 4: Area = 0.5 x 9 x 4 = 18.0
Right triangle with base 9 and height 5: Area = 0.5 x 9 x 5 = 22.5
Rectangle with width 8 and height 5: Area = 8 x 5 = 40</think>
<answer>80</answer> |
Given the following shapes: a rectangle with width 5 and height 3, a trapezoid with bases 2 and 6 and height 2, a right_triangle with base 1 and height 7, a trapezoid with bases 6 and 9 and height 4. What is the total area of all shapes? Please round the result to the nearest integer. | <think>Rectangle with width 5 and height 3: Area = 5 x 3 = 15
Trapezoid with bases 2, 6 and height 2: Area = 0.5 x (2 + 6) x 2 = 8.0
Right triangle with base 1 and height 7: Area = 0.5 x 1 x 7 = 3.5
Trapezoid with bases 6, 9 and height 4: Area = 0.5 x (6 + 9) x 4 = 30.0</think>
<answer>56</answer> |
There are 3 shapes on a 5x5 grid: a red rectangle at position (1, 4), a blue rectangle at position (4, 1), a orange trapezoid at position (4, 2). Which shape is closest to the blue rectangle at position (4, 1) in terms of Manhattan distance? The final answer should be the grid position of the closest shape like (row_index, column_index). | <think>Target shape: blue rectangle at (4, 1)
Distance from target to red rectangle at (1, 4): 6
Distance from target to orange trapezoid at (4, 2): 1
Closest shape is the orange trapezoid at (4, 2) with distance 1</think>
<answer>(4, 2)</answer> |
There are 5 shapes on a 9x9 grid: a purple right_triangle at position (2, 8), a orange trapezoid at position (0, 2), a cyan right_triangle at position (4, 4), a brown square at position (8, 2), a gray rectangle at position (8, 7). Which shape is closest to the purple right_triangle at position (2, 8) in terms of Manhattan distance? The final answer should be the grid position of the closest shape like (row_index, column_index). | <think>Target shape: purple right_triangle at (2, 8)
Distance from target to orange trapezoid at (0, 2): 8
Distance from target to cyan right_triangle at (4, 4): 6
Distance from target to brown square at (8, 2): 12
Distance from target to gray rectangle at (8, 7): 7
Closest shape is the cyan right_triangle at (4, 4) with distance 6</think>
<answer>(4, 4)</answer> |
Given the following shapes: a rectangle with width 7 and height 1, a rectangle with width 3 and height 6, a square with side 6, a right_triangle with base 2 and height 6. What is the total area of all shapes? Please round the result to the nearest integer. | <think>Rectangle with width 7 and height 1: Area = 7 x 1 = 7
Rectangle with width 3 and height 6: Area = 3 x 6 = 18
Square with side 6: Area = 6^2 = 36
Right triangle with base 2 and height 6: Area = 0.5 x 2 x 6 = 6.0</think>
<answer>67</answer> |
Given the following shapes: a square with side 6, a rectangle with width 8 and height 7, a square with side 4, a trapezoid with bases 9 and 9 and height 1, a right_triangle with base 7 and height 5. What is the total area of all shapes? Please round the result to the nearest integer. | <think>Square with side 6: Area = 6^2 = 36
Rectangle with width 8 and height 7: Area = 8 x 7 = 56
Square with side 4: Area = 4^2 = 16
Trapezoid with bases 9, 9 and height 1: Area = 0.5 x (9 + 9) x 1 = 9.0
Right triangle with base 7 and height 5: Area = 0.5 x 7 x 5 = 17.5</think>
<answer>134</answer> |
There are 6 shapes on a 6x6 grid: a cyan rectangle at position (2, 4), a purple rectangle at position (1, 4), a gray rectangle at position (2, 5), a yellow right_triangle at position (4, 0), a orange trapezoid at position (4, 3), a pink rectangle at position (2, 2). Which shape is closest to the pink rectangle at position (2, 2) in terms of Manhattan distance? The final answer should be the grid position of the closest shape like (row_index, column_index). | <think>Target shape: pink rectangle at (2, 2)
Distance from target to cyan rectangle at (2, 4): 2
Distance from target to purple rectangle at (1, 4): 3
Distance from target to gray rectangle at (2, 5): 3
Distance from target to yellow right_triangle at (4, 0): 4
Distance from target to orange trapezoid at (4, 3): 3
Closest shape is the cyan rectangle at (2, 4) with distance 2</think>
<answer>(2, 4)</answer> |
Given the following shapes: a square with side 3, a square with side 2, a square with side 6, a trapezoid with bases 5 and 6 and height 7, a right_triangle with base 4 and height 9. What is the total area of all shapes? Please round the result to the nearest integer. | <think>Square with side 3: Area = 3^2 = 9
Square with side 2: Area = 2^2 = 4
Square with side 6: Area = 6^2 = 36
Trapezoid with bases 5, 6 and height 7: Area = 0.5 x (5 + 6) x 7 = 38.5
Right triangle with base 4 and height 9: Area = 0.5 x 4 x 9 = 18.0</think>
<answer>106</answer> |
There are 6 shapes on a 5x5 grid: a blue rectangle at position (0, 3), a green square at position (4, 2), a pink right_triangle at position (1, 2), a gray right_triangle at position (2, 1), a red right_triangle at position (0, 4), a orange right_triangle at position (3, 4). Which shape is closest to the pink right_triangle at position (1, 2) in terms of Manhattan distance? The final answer should be the grid position of the closest shape like (row_index, column_index). | <think>Target shape: pink right_triangle at (1, 2)
Distance from target to blue rectangle at (0, 3): 2
Distance from target to green square at (4, 2): 3
Distance from target to gray right_triangle at (2, 1): 2
Distance from target to red right_triangle at (0, 4): 3
Distance from target to orange right_triangle at (3, 4): 4
Closest shape is the blue rectangle at (0, 3) with distance 2</think>
<answer>(0, 3)</answer> |
Given the following shapes: a square with side 3, a rectangle with width 8 and height 5, a trapezoid with bases 3 and 3 and height 4, a right_triangle with base 9 and height 9, a right_triangle with base 8 and height 6. What is the total area of all shapes? Please round the result to the nearest integer. | <think>Square with side 3: Area = 3^2 = 9
Rectangle with width 8 and height 5: Area = 8 x 5 = 40
Trapezoid with bases 3, 3 and height 4: Area = 0.5 x (3 + 3) x 4 = 12.0
Right triangle with base 9 and height 9: Area = 0.5 x 9 x 9 = 40.5
Right triangle with base 8 and height 6: Area = 0.5 x 8 x 6 = 24.0</think>
<answer>126</answer> |
Given the following shapes: a trapezoid with bases 9 and 2 and height 4, a trapezoid with bases 5 and 7 and height 1, a trapezoid with bases 6 and 3 and height 5. What is the total area of all shapes? Please round the result to the nearest integer. | <think>Trapezoid with bases 9, 2 and height 4: Area = 0.5 x (9 + 2) x 4 = 22.0
Trapezoid with bases 5, 7 and height 1: Area = 0.5 x (5 + 7) x 1 = 6.0
Trapezoid with bases 6, 3 and height 5: Area = 0.5 x (6 + 3) x 5 = 22.5</think>
<answer>50</answer> |
There are 2 shapes on a 3x3 grid: a orange right_triangle at position (0, 1), a red right_triangle at position (1, 1). Which shape is closest to the red right_triangle at position (1, 1) in terms of Manhattan distance? The final answer should be the grid position of the closest shape like (row_index, column_index). | <think>Target shape: red right_triangle at (1, 1)
Distance from target to orange right_triangle at (0, 1): 1
Closest shape is the orange right_triangle at (0, 1) with distance 1</think>
<answer>(0, 1)</answer> |
There are 2 shapes on a 4x4 grid: a blue right_triangle at position (3, 2), a pink square at position (3, 3). Which shape is closest to the blue right_triangle at position (3, 2) in terms of Manhattan distance? The final answer should be the grid position of the closest shape like (row_index, column_index). | <think>Target shape: blue right_triangle at (3, 2)
Distance from target to pink square at (3, 3): 1
Closest shape is the pink square at (3, 3) with distance 1</think>
<answer>(3, 3)</answer> |
Given the following shapes: a trapezoid with bases 4 and 1 and height 4, a rectangle with width 9 and height 2. What is the total area of all shapes? Please round the result to the nearest integer. | <think>Trapezoid with bases 4, 1 and height 4: Area = 0.5 x (4 + 1) x 4 = 10.0
Rectangle with width 9 and height 2: Area = 9 x 2 = 18</think>
<answer>28</answer> |
Given the following shapes: a rectangle with width 9 and height 9, a square with side 1, a right_triangle with base 2 and height 8. What is the total area of all shapes? Please round the result to the nearest integer. | <think>Rectangle with width 9 and height 9: Area = 9 x 9 = 81
Square with side 1: Area = 1^2 = 1
Right triangle with base 2 and height 8: Area = 0.5 x 2 x 8 = 8.0</think>
<answer>90</answer> |
Given the following shapes: a square with side 5, a rectangle with width 1 and height 6. What is the total area of all shapes? Please round the result to the nearest integer. | <think>Square with side 5: Area = 5^2 = 25
Rectangle with width 1 and height 6: Area = 1 x 6 = 6</think>
<answer>31</answer> |
There are 2 shapes on a 5x5 grid: a gray right_triangle at position (3, 3), a brown square at position (2, 1). Which shape is closest to the gray right_triangle at position (3, 3) in terms of Manhattan distance? The final answer should be the grid position of the closest shape like (row_index, column_index). | <think>Target shape: gray right_triangle at (3, 3)
Distance from target to brown square at (2, 1): 3
Closest shape is the brown square at (2, 1) with distance 3</think>
<answer>(2, 1)</answer> |
Given the following shapes: a right_triangle with base 7 and height 5, a rectangle with width 8 and height 2. What is the total area of all shapes? Please round the result to the nearest integer. | <think>Right triangle with base 7 and height 5: Area = 0.5 x 7 x 5 = 17.5
Rectangle with width 8 and height 2: Area = 8 x 2 = 16</think>
<answer>34</answer> |
Given the following shapes: a square with side 8, a rectangle with width 4 and height 7, a trapezoid with bases 3 and 5 and height 3, a right_triangle with base 6 and height 4. What is the total area of all shapes? Please round the result to the nearest integer. | <think>Square with side 8: Area = 8^2 = 64
Rectangle with width 4 and height 7: Area = 4 x 7 = 28
Trapezoid with bases 3, 5 and height 3: Area = 0.5 x (3 + 5) x 3 = 12.0
Right triangle with base 6 and height 4: Area = 0.5 x 6 x 4 = 12.0</think>
<answer>116</answer> |
There are 4 shapes on a 8x8 grid: a blue right_triangle at position (4, 5), a purple trapezoid at position (3, 7), a red rectangle at position (3, 6), a gray right_triangle at position (1, 3). Which shape is closest to the red rectangle at position (3, 6) in terms of Manhattan distance? The final answer should be the grid position of the closest shape like (row_index, column_index). | <think>Target shape: red rectangle at (3, 6)
Distance from target to blue right_triangle at (4, 5): 2
Distance from target to purple trapezoid at (3, 7): 1
Distance from target to gray right_triangle at (1, 3): 5
Closest shape is the purple trapezoid at (3, 7) with distance 1</think>
<answer>(3, 7)</answer> |
There are 4 shapes on a 9x9 grid: a brown right_triangle at position (0, 3), a yellow square at position (8, 1), a pink square at position (4, 1), a gray square at position (7, 8). Which shape is closest to the brown right_triangle at position (0, 3) in terms of Manhattan distance? The final answer should be the grid position of the closest shape like (row_index, column_index). | <think>Target shape: brown right_triangle at (0, 3)
Distance from target to yellow square at (8, 1): 10
Distance from target to pink square at (4, 1): 6
Distance from target to gray square at (7, 8): 12
Closest shape is the pink square at (4, 1) with distance 6</think>
<answer>(4, 1)</answer> |
Given the following shapes: a trapezoid with bases 4 and 5 and height 8, a right_triangle with base 3 and height 2, a right_triangle with base 8 and height 5, a square with side 4. What is the total area of all shapes? Please round the result to the nearest integer. | <think>Trapezoid with bases 4, 5 and height 8: Area = 0.5 x (4 + 5) x 8 = 36.0
Right triangle with base 3 and height 2: Area = 0.5 x 3 x 2 = 3.0
Right triangle with base 8 and height 5: Area = 0.5 x 8 x 5 = 20.0
Square with side 4: Area = 4^2 = 16</think>
<answer>75</answer> |
Given the following shapes: a right_triangle with base 6 and height 9, a rectangle with width 3 and height 9, a rectangle with width 3 and height 5. What is the total area of all shapes? Please round the result to the nearest integer. | <think>Right triangle with base 6 and height 9: Area = 0.5 x 6 x 9 = 27.0
Rectangle with width 3 and height 9: Area = 3 x 9 = 27
Rectangle with width 3 and height 5: Area = 3 x 5 = 15</think>
<answer>69</answer> |
There are 6 shapes on a 8x8 grid: a green trapezoid at position (4, 2), a red right_triangle at position (5, 3), a cyan rectangle at position (1, 1), a gray trapezoid at position (1, 6), a pink right_triangle at position (1, 5), a brown right_triangle at position (6, 3). Which shape is closest to the green trapezoid at position (4, 2) in terms of Manhattan distance? The final answer should be the grid position of the closest shape like (row_index, column_index). | <think>Target shape: green trapezoid at (4, 2)
Distance from target to red right_triangle at (5, 3): 2
Distance from target to cyan rectangle at (1, 1): 4
Distance from target to gray trapezoid at (1, 6): 7
Distance from target to pink right_triangle at (1, 5): 6
Distance from target to brown right_triangle at (6, 3): 3
Closest shape is the red right_triangle at (5, 3) with distance 2</think>
<answer>(5, 3)</answer> |
There are 6 shapes on a 6x6 grid: a green rectangle at position (5, 3), a brown square at position (0, 0), a cyan right_triangle at position (4, 0), a red rectangle at position (3, 2), a yellow rectangle at position (5, 2), a gray right_triangle at position (4, 2). Which shape is closest to the brown square at position (0, 0) in terms of Manhattan distance? The final answer should be the grid position of the closest shape like (row_index, column_index). | <think>Target shape: brown square at (0, 0)
Distance from target to green rectangle at (5, 3): 8
Distance from target to cyan right_triangle at (4, 0): 4
Distance from target to red rectangle at (3, 2): 5
Distance from target to yellow rectangle at (5, 2): 7
Distance from target to gray right_triangle at (4, 2): 6
Closest shape is the cyan right_triangle at (4, 0) with distance 4</think>
<answer>(4, 0)</answer> |
There are 3 shapes on a 3x3 grid: a purple square at position (2, 0), a brown trapezoid at position (1, 0), a pink trapezoid at position (1, 2). Which shape is closest to the pink trapezoid at position (1, 2) in terms of Manhattan distance? The final answer should be the grid position of the closest shape like (row_index, column_index). | <think>Target shape: pink trapezoid at (1, 2)
Distance from target to purple square at (2, 0): 3
Distance from target to brown trapezoid at (1, 0): 2
Closest shape is the brown trapezoid at (1, 0) with distance 2</think>
<answer>(1, 0)</answer> |
There are 5 shapes on a 4x4 grid: a yellow trapezoid at position (2, 3), a green square at position (1, 0), a orange square at position (3, 3), a gray square at position (2, 1), a red right_triangle at position (1, 2). Which shape is closest to the gray square at position (2, 1) in terms of Manhattan distance? The final answer should be the grid position of the closest shape like (row_index, column_index). | <think>Target shape: gray square at (2, 1)
Distance from target to yellow trapezoid at (2, 3): 2
Distance from target to green square at (1, 0): 2
Distance from target to orange square at (3, 3): 3
Distance from target to red right_triangle at (1, 2): 2
Closest shape is the yellow trapezoid at (2, 3) with distance 2</think>
<answer>(2, 3)</answer> |
Given the following shapes: a square with side 8, a right_triangle with base 7 and height 7, a trapezoid with bases 5 and 9 and height 8, a square with side 8, a right_triangle with base 8 and height 9, a rectangle with width 3 and height 2. What is the total area of all shapes? Please round the result to the nearest integer. | <think>Square with side 8: Area = 8^2 = 64
Right triangle with base 7 and height 7: Area = 0.5 x 7 x 7 = 24.5
Trapezoid with bases 5, 9 and height 8: Area = 0.5 x (5 + 9) x 8 = 56.0
Square with side 8: Area = 8^2 = 64
Right triangle with base 8 and height 9: Area = 0.5 x 8 x 9 = 36.0
Rectangle with width 3 and height 2: Area = 3 x 2 = 6</think>
<answer>250</answer> |
There are 4 shapes on a 5x5 grid: a red trapezoid at position (2, 3), a yellow rectangle at position (3, 3), a blue rectangle at position (0, 0), a orange square at position (0, 3). Which shape is closest to the blue rectangle at position (0, 0) in terms of Manhattan distance? The final answer should be the grid position of the closest shape like (row_index, column_index). | <think>Target shape: blue rectangle at (0, 0)
Distance from target to red trapezoid at (2, 3): 5
Distance from target to yellow rectangle at (3, 3): 6
Distance from target to orange square at (0, 3): 3
Closest shape is the orange square at (0, 3) with distance 3</think>
<answer>(0, 3)</answer> |
There are 6 shapes on a 6x6 grid: a purple square at position (3, 1), a yellow trapezoid at position (5, 5), a orange square at position (3, 0), a gray trapezoid at position (2, 0), a blue square at position (2, 5), a red square at position (1, 1). Which shape is closest to the purple square at position (3, 1) in terms of Manhattan distance? The final answer should be the grid position of the closest shape like (row_index, column_index). | <think>Target shape: purple square at (3, 1)
Distance from target to yellow trapezoid at (5, 5): 6
Distance from target to orange square at (3, 0): 1
Distance from target to gray trapezoid at (2, 0): 2
Distance from target to blue square at (2, 5): 5
Distance from target to red square at (1, 1): 2
Closest shape is the orange square at (3, 0) with distance 1</think>
<answer>(3, 0)</answer> |
Given the following shapes: a square with side 7, a trapezoid with bases 3 and 9 and height 3, a square with side 6, a rectangle with width 3 and height 7, a rectangle with width 5 and height 4, a trapezoid with bases 1 and 5 and height 1. What is the total area of all shapes? Please round the result to the nearest integer. | <think>Square with side 7: Area = 7^2 = 49
Trapezoid with bases 3, 9 and height 3: Area = 0.5 x (3 + 9) x 3 = 18.0
Square with side 6: Area = 6^2 = 36
Rectangle with width 3 and height 7: Area = 3 x 7 = 21
Rectangle with width 5 and height 4: Area = 5 x 4 = 20
Trapezoid with bases 1, 5 and height 1: Area = 0.5 x (1 + 5) x 1 = 3.0</think>
<answer>147</answer> |
Given the following shapes: a trapezoid with bases 6 and 9 and height 7, a trapezoid with bases 9 and 9 and height 5. What is the total area of all shapes? Please round the result to the nearest integer. | <think>Trapezoid with bases 6, 9 and height 7: Area = 0.5 x (6 + 9) x 7 = 52.5
Trapezoid with bases 9, 9 and height 5: Area = 0.5 x (9 + 9) x 5 = 45.0</think>
<answer>98</answer> |
Given the following shapes: a square with side 8, a rectangle with width 9 and height 5, a rectangle with width 1 and height 5, a trapezoid with bases 8 and 1 and height 6, a trapezoid with bases 6 and 7 and height 1. What is the total area of all shapes? Please round the result to the nearest integer. | <think>Square with side 8: Area = 8^2 = 64
Rectangle with width 9 and height 5: Area = 9 x 5 = 45
Rectangle with width 1 and height 5: Area = 1 x 5 = 5
Trapezoid with bases 8, 1 and height 6: Area = 0.5 x (8 + 1) x 6 = 27.0
Trapezoid with bases 6, 7 and height 1: Area = 0.5 x (6 + 7) x 1 = 6.5</think>
<answer>148</answer> |
There are 3 shapes on a 7x7 grid: a pink right_triangle at position (3, 1), a blue right_triangle at position (3, 4), a red rectangle at position (5, 0). Which shape is closest to the red rectangle at position (5, 0) in terms of Manhattan distance? The final answer should be the grid position of the closest shape like (row_index, column_index). | <think>Target shape: red rectangle at (5, 0)
Distance from target to pink right_triangle at (3, 1): 3
Distance from target to blue right_triangle at (3, 4): 6
Closest shape is the pink right_triangle at (3, 1) with distance 3</think>
<answer>(3, 1)</answer> |
Given the following shapes: a right_triangle with base 9 and height 9, a square with side 4, a rectangle with width 9 and height 7. What is the total area of all shapes? Please round the result to the nearest integer. | <think>Right triangle with base 9 and height 9: Area = 0.5 x 9 x 9 = 40.5
Square with side 4: Area = 4^2 = 16
Rectangle with width 9 and height 7: Area = 9 x 7 = 63</think>
<answer>120</answer> |
Given the following shapes: a square with side 4, a rectangle with width 2 and height 8. What is the total area of all shapes? Please round the result to the nearest integer. | <think>Square with side 4: Area = 4^2 = 16
Rectangle with width 2 and height 8: Area = 2 x 8 = 16</think>
<answer>32</answer> |
There are 3 shapes on a 8x8 grid: a brown right_triangle at position (6, 3), a purple trapezoid at position (0, 3), a green right_triangle at position (1, 0). Which shape is closest to the purple trapezoid at position (0, 3) in terms of Manhattan distance? The final answer should be the grid position of the closest shape like (row_index, column_index). | <think>Target shape: purple trapezoid at (0, 3)
Distance from target to brown right_triangle at (6, 3): 6
Distance from target to green right_triangle at (1, 0): 4
Closest shape is the green right_triangle at (1, 0) with distance 4</think>
<answer>(1, 0)</answer> |
Given the following shapes: a right_triangle with base 8 and height 3, a square with side 2, a trapezoid with bases 8 and 1 and height 6, a trapezoid with bases 3 and 4 and height 1, a square with side 6. What is the total area of all shapes? Please round the result to the nearest integer. | <think>Right triangle with base 8 and height 3: Area = 0.5 x 8 x 3 = 12.0
Square with side 2: Area = 2^2 = 4
Trapezoid with bases 8, 1 and height 6: Area = 0.5 x (8 + 1) x 6 = 27.0
Trapezoid with bases 3, 4 and height 1: Area = 0.5 x (3 + 4) x 1 = 3.5
Square with side 6: Area = 6^2 = 36</think>
<answer>82</answer> |
There are 6 shapes on a 3x3 grid: a gray square at position (1, 1), a green right_triangle at position (2, 1), a blue right_triangle at position (1, 2), a pink square at position (0, 1), a cyan trapezoid at position (0, 0), a orange square at position (1, 0). Which shape is closest to the blue right_triangle at position (1, 2) in terms of Manhattan distance? The final answer should be the grid position of the closest shape like (row_index, column_index). | <think>Target shape: blue right_triangle at (1, 2)
Distance from target to gray square at (1, 1): 1
Distance from target to green right_triangle at (2, 1): 2
Distance from target to pink square at (0, 1): 2
Distance from target to cyan trapezoid at (0, 0): 3
Distance from target to orange square at (1, 0): 2
Closest shape is the gray square at (1, 1) with distance 1</think>
<answer>(1, 1)</answer> |
There are 6 shapes on a 4x4 grid: a purple trapezoid at position (1, 2), a blue trapezoid at position (2, 3), a gray square at position (1, 1), a pink trapezoid at position (0, 2), a brown square at position (3, 1), a orange square at position (2, 0). Which shape is closest to the orange square at position (2, 0) in terms of Manhattan distance? The final answer should be the grid position of the closest shape like (row_index, column_index). | <think>Target shape: orange square at (2, 0)
Distance from target to purple trapezoid at (1, 2): 3
Distance from target to blue trapezoid at (2, 3): 3
Distance from target to gray square at (1, 1): 2
Distance from target to pink trapezoid at (0, 2): 4
Distance from target to brown square at (3, 1): 2
Closest shape is the gray square at (1, 1) with distance 2</think>
<answer>(1, 1)</answer> |
There are 5 shapes on a 7x7 grid: a red rectangle at position (6, 6), a pink trapezoid at position (3, 4), a brown right_triangle at position (6, 5), a blue right_triangle at position (3, 1), a green rectangle at position (0, 2). Which shape is closest to the brown right_triangle at position (6, 5) in terms of Manhattan distance? The final answer should be the grid position of the closest shape like (row_index, column_index). | <think>Target shape: brown right_triangle at (6, 5)
Distance from target to red rectangle at (6, 6): 1
Distance from target to pink trapezoid at (3, 4): 4
Distance from target to blue right_triangle at (3, 1): 7
Distance from target to green rectangle at (0, 2): 9
Closest shape is the red rectangle at (6, 6) with distance 1</think>
<answer>(6, 6)</answer> |
There are 4 shapes on a 9x9 grid: a purple square at position (8, 1), a brown rectangle at position (1, 8), a blue trapezoid at position (7, 3), a pink square at position (1, 3). Which shape is closest to the purple square at position (8, 1) in terms of Manhattan distance? The final answer should be the grid position of the closest shape like (row_index, column_index). | <think>Target shape: purple square at (8, 1)
Distance from target to brown rectangle at (1, 8): 14
Distance from target to blue trapezoid at (7, 3): 3
Distance from target to pink square at (1, 3): 9
Closest shape is the blue trapezoid at (7, 3) with distance 3</think>
<answer>(7, 3)</answer> |
Given the following shapes: a square with side 6, a rectangle with width 9 and height 9. What is the total area of all shapes? Please round the result to the nearest integer. | <think>Square with side 6: Area = 6^2 = 36
Rectangle with width 9 and height 9: Area = 9 x 9 = 81</think>
<answer>117</answer> |
Given the following shapes: a square with side 5, a right_triangle with base 1 and height 1. What is the total area of all shapes? Please round the result to the nearest integer. | <think>Square with side 5: Area = 5^2 = 25
Right triangle with base 1 and height 1: Area = 0.5 x 1 x 1 = 0.5</think>
<answer>26</answer> |
There are 2 shapes on a 9x9 grid: a orange square at position (0, 4), a pink right_triangle at position (1, 2). Which shape is closest to the pink right_triangle at position (1, 2) in terms of Manhattan distance? The final answer should be the grid position of the closest shape like (row_index, column_index). | <think>Target shape: pink right_triangle at (1, 2)
Distance from target to orange square at (0, 4): 3
Closest shape is the orange square at (0, 4) with distance 3</think>
<answer>(0, 4)</answer> |
There are 3 shapes on a 3x3 grid: a brown square at position (2, 0), a blue right_triangle at position (1, 2), a red rectangle at position (0, 0). Which shape is closest to the brown square at position (2, 0) in terms of Manhattan distance? The final answer should be the grid position of the closest shape like (row_index, column_index). | <think>Target shape: brown square at (2, 0)
Distance from target to blue right_triangle at (1, 2): 3
Distance from target to red rectangle at (0, 0): 2
Closest shape is the red rectangle at (0, 0) with distance 2</think>
<answer>(0, 0)</answer> |
Given the following shapes: a right_triangle with base 6 and height 7, a square with side 7, a right_triangle with base 2 and height 5, a trapezoid with bases 7 and 9 and height 6, a right_triangle with base 4 and height 1, a trapezoid with bases 1 and 4 and height 6. What is the total area of all shapes? Please round the result to the nearest integer. | <think>Right triangle with base 6 and height 7: Area = 0.5 x 6 x 7 = 21.0
Square with side 7: Area = 7^2 = 49
Right triangle with base 2 and height 5: Area = 0.5 x 2 x 5 = 5.0
Trapezoid with bases 7, 9 and height 6: Area = 0.5 x (7 + 9) x 6 = 48.0
Right triangle with base 4 and height 1: Area = 0.5 x 4 x 1 = 2.0
Trapezoid with bases 1, 4 and height 6: Area = 0.5 x (1 + 4) x 6 = 15.0</think>
<answer>140</answer> |
Given the following shapes: a square with side 8, a trapezoid with bases 9 and 6 and height 9, a rectangle with width 4 and height 7. What is the total area of all shapes? Please round the result to the nearest integer. | <think>Square with side 8: Area = 8^2 = 64
Trapezoid with bases 9, 6 and height 9: Area = 0.5 x (9 + 6) x 9 = 67.5
Rectangle with width 4 and height 7: Area = 4 x 7 = 28</think>
<answer>160</answer> |
There are 4 shapes on a 7x7 grid: a red trapezoid at position (3, 4), a purple trapezoid at position (0, 6), a brown right_triangle at position (2, 5), a cyan square at position (1, 4). Which shape is closest to the brown right_triangle at position (2, 5) in terms of Manhattan distance? The final answer should be the grid position of the closest shape like (row_index, column_index). | <think>Target shape: brown right_triangle at (2, 5)
Distance from target to red trapezoid at (3, 4): 2
Distance from target to purple trapezoid at (0, 6): 3
Distance from target to cyan square at (1, 4): 2
Closest shape is the red trapezoid at (3, 4) with distance 2</think>
<answer>(3, 4)</answer> |
There are 6 shapes on a 7x7 grid: a purple right_triangle at position (2, 2), a yellow right_triangle at position (5, 3), a brown square at position (4, 4), a orange rectangle at position (4, 3), a gray square at position (6, 0), a green rectangle at position (2, 6). Which shape is closest to the orange rectangle at position (4, 3) in terms of Manhattan distance? The final answer should be the grid position of the closest shape like (row_index, column_index). | <think>Target shape: orange rectangle at (4, 3)
Distance from target to purple right_triangle at (2, 2): 3
Distance from target to yellow right_triangle at (5, 3): 1
Distance from target to brown square at (4, 4): 1
Distance from target to gray square at (6, 0): 5
Distance from target to green rectangle at (2, 6): 5
Closest shape is the yellow right_triangle at (5, 3) with distance 1</think>
<answer>(5, 3)</answer> |
Given the following shapes: a right_triangle with base 5 and height 7, a trapezoid with bases 1 and 1 and height 2, a right_triangle with base 9 and height 8. What is the total area of all shapes? Please round the result to the nearest integer. | <think>Right triangle with base 5 and height 7: Area = 0.5 x 5 x 7 = 17.5
Trapezoid with bases 1, 1 and height 2: Area = 0.5 x (1 + 1) x 2 = 2.0
Right triangle with base 9 and height 8: Area = 0.5 x 9 x 8 = 36.0</think>
<answer>56</answer> |
Given the following shapes: a square with side 9, a rectangle with width 9 and height 2, a square with side 7, a rectangle with width 8 and height 7. What is the total area of all shapes? Please round the result to the nearest integer. | <think>Square with side 9: Area = 9^2 = 81
Rectangle with width 9 and height 2: Area = 9 x 2 = 18
Square with side 7: Area = 7^2 = 49
Rectangle with width 8 and height 7: Area = 8 x 7 = 56</think>
<answer>204</answer> |
Given the following shapes: a rectangle with width 1 and height 8, a square with side 5, a square with side 3, a right_triangle with base 8 and height 5, a right_triangle with base 1 and height 9. What is the total area of all shapes? Please round the result to the nearest integer. | <think>Rectangle with width 1 and height 8: Area = 1 x 8 = 8
Square with side 5: Area = 5^2 = 25
Square with side 3: Area = 3^2 = 9
Right triangle with base 8 and height 5: Area = 0.5 x 8 x 5 = 20.0
Right triangle with base 1 and height 9: Area = 0.5 x 1 x 9 = 4.5</think>
<answer>66</answer> |
There are 3 shapes on a 4x4 grid: a purple right_triangle at position (0, 2), a cyan trapezoid at position (2, 2), a yellow right_triangle at position (2, 0). Which shape is closest to the purple right_triangle at position (0, 2) in terms of Manhattan distance? The final answer should be the grid position of the closest shape like (row_index, column_index). | <think>Target shape: purple right_triangle at (0, 2)
Distance from target to cyan trapezoid at (2, 2): 2
Distance from target to yellow right_triangle at (2, 0): 4
Closest shape is the cyan trapezoid at (2, 2) with distance 2</think>
<answer>(2, 2)</answer> |
Given the following shapes: a right_triangle with base 5 and height 3, a rectangle with width 2 and height 5, a rectangle with width 1 and height 6, a right_triangle with base 4 and height 1, a right_triangle with base 8 and height 2, a trapezoid with bases 5 and 9 and height 9. What is the total area of all shapes? Please round the result to the nearest integer. | <think>Right triangle with base 5 and height 3: Area = 0.5 x 5 x 3 = 7.5
Rectangle with width 2 and height 5: Area = 2 x 5 = 10
Rectangle with width 1 and height 6: Area = 1 x 6 = 6
Right triangle with base 4 and height 1: Area = 0.5 x 4 x 1 = 2.0
Right triangle with base 8 and height 2: Area = 0.5 x 8 x 2 = 8.0
Trapezoid with bases 5, 9 and height 9: Area = 0.5 x (5 + 9) x 9 = 63.0</think>
<answer>96</answer> |
Given the following shapes: a square with side 1, a trapezoid with bases 1 and 6 and height 3, a right_triangle with base 1 and height 5, a trapezoid with bases 5 and 8 and height 8, a square with side 4. What is the total area of all shapes? Please round the result to the nearest integer. | <think>Square with side 1: Area = 1^2 = 1
Trapezoid with bases 1, 6 and height 3: Area = 0.5 x (1 + 6) x 3 = 10.5
Right triangle with base 1 and height 5: Area = 0.5 x 1 x 5 = 2.5
Trapezoid with bases 5, 8 and height 8: Area = 0.5 x (5 + 8) x 8 = 52.0
Square with side 4: Area = 4^2 = 16</think>
<answer>82</answer> |
Given the following shapes: a right_triangle with base 5 and height 4, a rectangle with width 6 and height 7. What is the total area of all shapes? Please round the result to the nearest integer. | <think>Right triangle with base 5 and height 4: Area = 0.5 x 5 x 4 = 10.0
Rectangle with width 6 and height 7: Area = 6 x 7 = 42</think>
<answer>52</answer> |
There are 2 shapes on a 6x6 grid: a blue rectangle at position (4, 5), a yellow trapezoid at position (1, 3). Which shape is closest to the yellow trapezoid at position (1, 3) in terms of Manhattan distance? The final answer should be the grid position of the closest shape like (row_index, column_index). | <think>Target shape: yellow trapezoid at (1, 3)
Distance from target to blue rectangle at (4, 5): 5
Closest shape is the blue rectangle at (4, 5) with distance 5</think>
<answer>(4, 5)</answer> |
Given the following shapes: a square with side 1, a trapezoid with bases 4 and 3 and height 4, a right_triangle with base 2 and height 1, a trapezoid with bases 1 and 2 and height 1. What is the total area of all shapes? Please round the result to the nearest integer. | <think>Square with side 1: Area = 1^2 = 1
Trapezoid with bases 4, 3 and height 4: Area = 0.5 x (4 + 3) x 4 = 14.0
Right triangle with base 2 and height 1: Area = 0.5 x 2 x 1 = 1.0
Trapezoid with bases 1, 2 and height 1: Area = 0.5 x (1 + 2) x 1 = 1.5</think>
<answer>18</answer> |
There are 3 shapes on a 4x4 grid: a brown rectangle at position (2, 0), a orange square at position (2, 1), a yellow square at position (1, 0). Which shape is closest to the orange square at position (2, 1) in terms of Manhattan distance? The final answer should be the grid position of the closest shape like (row_index, column_index). | <think>Target shape: orange square at (2, 1)
Distance from target to brown rectangle at (2, 0): 1
Distance from target to yellow square at (1, 0): 2
Closest shape is the brown rectangle at (2, 0) with distance 1</think>
<answer>(2, 0)</answer> |
Given the following shapes: a rectangle with width 5 and height 3, a right_triangle with base 7 and height 8, a trapezoid with bases 4 and 5 and height 3, a trapezoid with bases 8 and 4 and height 3. What is the total area of all shapes? Please round the result to the nearest integer. | <think>Rectangle with width 5 and height 3: Area = 5 x 3 = 15
Right triangle with base 7 and height 8: Area = 0.5 x 7 x 8 = 28.0
Trapezoid with bases 4, 5 and height 3: Area = 0.5 x (4 + 5) x 3 = 13.5
Trapezoid with bases 8, 4 and height 3: Area = 0.5 x (8 + 4) x 3 = 18.0</think>
<answer>74</answer> |
There are 3 shapes on a 9x9 grid: a green square at position (5, 3), a pink square at position (1, 6), a yellow trapezoid at position (3, 2). Which shape is closest to the yellow trapezoid at position (3, 2) in terms of Manhattan distance? The final answer should be the grid position of the closest shape like (row_index, column_index). | <think>Target shape: yellow trapezoid at (3, 2)
Distance from target to green square at (5, 3): 3
Distance from target to pink square at (1, 6): 6
Closest shape is the green square at (5, 3) with distance 3</think>
<answer>(5, 3)</answer> |
Given the following shapes: a right_triangle with base 7 and height 5, a rectangle with width 9 and height 2, a right_triangle with base 6 and height 6. What is the total area of all shapes? Please round the result to the nearest integer. | <think>Right triangle with base 7 and height 5: Area = 0.5 x 7 x 5 = 17.5
Rectangle with width 9 and height 2: Area = 9 x 2 = 18
Right triangle with base 6 and height 6: Area = 0.5 x 6 x 6 = 18.0</think>
<answer>54</answer> |
Given the following shapes: a trapezoid with bases 2 and 1 and height 6, a right_triangle with base 7 and height 7, a trapezoid with bases 3 and 6 and height 1, a trapezoid with bases 3 and 1 and height 3, a right_triangle with base 5 and height 6. What is the total area of all shapes? Please round the result to the nearest integer. | <think>Trapezoid with bases 2, 1 and height 6: Area = 0.5 x (2 + 1) x 6 = 9.0
Right triangle with base 7 and height 7: Area = 0.5 x 7 x 7 = 24.5
Trapezoid with bases 3, 6 and height 1: Area = 0.5 x (3 + 6) x 1 = 4.5
Trapezoid with bases 3, 1 and height 3: Area = 0.5 x (3 + 1) x 3 = 6.0
Right triangle with base 5 and height 6: Area = 0.5 x 5 x 6 = 15.0</think>
<answer>59</answer> |
There are 3 shapes on a 5x5 grid: a orange trapezoid at position (1, 3), a blue rectangle at position (1, 0), a gray trapezoid at position (3, 1). Which shape is closest to the orange trapezoid at position (1, 3) in terms of Manhattan distance? The final answer should be the grid position of the closest shape like (row_index, column_index). | <think>Target shape: orange trapezoid at (1, 3)
Distance from target to blue rectangle at (1, 0): 3
Distance from target to gray trapezoid at (3, 1): 4
Closest shape is the blue rectangle at (1, 0) with distance 3</think>
<answer>(1, 0)</answer> |
Given the following shapes: a rectangle with width 1 and height 5, a rectangle with width 5 and height 8, a square with side 2, a trapezoid with bases 3 and 9 and height 3. What is the total area of all shapes? Please round the result to the nearest integer. | <think>Rectangle with width 1 and height 5: Area = 1 x 5 = 5
Rectangle with width 5 and height 8: Area = 5 x 8 = 40
Square with side 2: Area = 2^2 = 4
Trapezoid with bases 3, 9 and height 3: Area = 0.5 x (3 + 9) x 3 = 18.0</think>
<answer>67</answer> |
Given the following shapes: a right_triangle with base 8 and height 9, a right_triangle with base 5 and height 2, a rectangle with width 4 and height 8, a trapezoid with bases 2 and 4 and height 7. What is the total area of all shapes? Please round the result to the nearest integer. | <think>Right triangle with base 8 and height 9: Area = 0.5 x 8 x 9 = 36.0
Right triangle with base 5 and height 2: Area = 0.5 x 5 x 2 = 5.0
Rectangle with width 4 and height 8: Area = 4 x 8 = 32
Trapezoid with bases 2, 4 and height 7: Area = 0.5 x (2 + 4) x 7 = 21.0</think>
<answer>94</answer> |
Given the following shapes: a trapezoid with bases 5 and 3 and height 6, a trapezoid with bases 4 and 3 and height 2, a rectangle with width 1 and height 5, a right_triangle with base 7 and height 5, a rectangle with width 3 and height 7. What is the total area of all shapes? Please round the result to the nearest integer. | <think>Trapezoid with bases 5, 3 and height 6: Area = 0.5 x (5 + 3) x 6 = 24.0
Trapezoid with bases 4, 3 and height 2: Area = 0.5 x (4 + 3) x 2 = 7.0
Rectangle with width 1 and height 5: Area = 1 x 5 = 5
Right triangle with base 7 and height 5: Area = 0.5 x 7 x 5 = 17.5
Rectangle with width 3 and height 7: Area = 3 x 7 = 21</think>
<answer>74</answer> |
Given the following shapes: a rectangle with width 2 and height 3, a rectangle with width 1 and height 8, a trapezoid with bases 3 and 6 and height 3, a rectangle with width 2 and height 2, a right_triangle with base 5 and height 3. What is the total area of all shapes? Please round the result to the nearest integer. | <think>Rectangle with width 2 and height 3: Area = 2 x 3 = 6
Rectangle with width 1 and height 8: Area = 1 x 8 = 8
Trapezoid with bases 3, 6 and height 3: Area = 0.5 x (3 + 6) x 3 = 13.5
Rectangle with width 2 and height 2: Area = 2 x 2 = 4
Right triangle with base 5 and height 3: Area = 0.5 x 5 x 3 = 7.5</think>
<answer>39</answer> |
Given the following shapes: a square with side 7, a square with side 6, a square with side 5. What is the total area of all shapes? Please round the result to the nearest integer. | <think>Square with side 7: Area = 7^2 = 49
Square with side 6: Area = 6^2 = 36
Square with side 5: Area = 5^2 = 25</think>
<answer>110</answer> |
There are 6 shapes on a 7x7 grid: a pink square at position (1, 1), a blue square at position (2, 4), a orange trapezoid at position (2, 2), a gray right_triangle at position (3, 2), a brown right_triangle at position (2, 5), a red rectangle at position (6, 1). Which shape is closest to the gray right_triangle at position (3, 2) in terms of Manhattan distance? The final answer should be the grid position of the closest shape like (row_index, column_index). | <think>Target shape: gray right_triangle at (3, 2)
Distance from target to pink square at (1, 1): 3
Distance from target to blue square at (2, 4): 3
Distance from target to orange trapezoid at (2, 2): 1
Distance from target to brown right_triangle at (2, 5): 4
Distance from target to red rectangle at (6, 1): 4
Closest shape is the orange trapezoid at (2, 2) with distance 1</think>
<answer>(2, 2)</answer> |
There are 5 shapes on a 3x3 grid: a purple rectangle at position (0, 2), a blue right_triangle at position (1, 1), a red right_triangle at position (1, 2), a orange rectangle at position (2, 0), a brown square at position (0, 1). Which shape is closest to the purple rectangle at position (0, 2) in terms of Manhattan distance? The final answer should be the grid position of the closest shape like (row_index, column_index). | <think>Target shape: purple rectangle at (0, 2)
Distance from target to blue right_triangle at (1, 1): 2
Distance from target to red right_triangle at (1, 2): 1
Distance from target to orange rectangle at (2, 0): 4
Distance from target to brown square at (0, 1): 1
Closest shape is the red right_triangle at (1, 2) with distance 1</think>
<answer>(1, 2)</answer> |
Given the following shapes: a right_triangle with base 3 and height 6, a right_triangle with base 1 and height 6. What is the total area of all shapes? Please round the result to the nearest integer. | <think>Right triangle with base 3 and height 6: Area = 0.5 x 3 x 6 = 9.0
Right triangle with base 1 and height 6: Area = 0.5 x 1 x 6 = 3.0</think>
<answer>12</answer> |
There are 5 shapes on a 6x6 grid: a green rectangle at position (4, 3), a gray trapezoid at position (1, 0), a yellow rectangle at position (0, 2), a pink rectangle at position (2, 2), a purple right_triangle at position (0, 0). Which shape is closest to the pink rectangle at position (2, 2) in terms of Manhattan distance? The final answer should be the grid position of the closest shape like (row_index, column_index). | <think>Target shape: pink rectangle at (2, 2)
Distance from target to green rectangle at (4, 3): 3
Distance from target to gray trapezoid at (1, 0): 3
Distance from target to yellow rectangle at (0, 2): 2
Distance from target to purple right_triangle at (0, 0): 4
Closest shape is the yellow rectangle at (0, 2) with distance 2</think>
<answer>(0, 2)</answer> |
Given the following shapes: a right_triangle with base 9 and height 2, a square with side 1, a trapezoid with bases 5 and 1 and height 9. What is the total area of all shapes? Please round the result to the nearest integer. | <think>Right triangle with base 9 and height 2: Area = 0.5 x 9 x 2 = 9.0
Square with side 1: Area = 1^2 = 1
Trapezoid with bases 5, 1 and height 9: Area = 0.5 x (5 + 1) x 9 = 27.0</think>
<answer>37</answer> |
Given the following shapes: a trapezoid with bases 2 and 1 and height 2, a trapezoid with bases 5 and 9 and height 7. What is the total area of all shapes? Please round the result to the nearest integer. | <think>Trapezoid with bases 2, 1 and height 2: Area = 0.5 x (2 + 1) x 2 = 3.0
Trapezoid with bases 5, 9 and height 7: Area = 0.5 x (5 + 9) x 7 = 49.0</think>
<answer>52</answer> |
Given the following shapes: a right_triangle with base 7 and height 5, a right_triangle with base 3 and height 1, a right_triangle with base 2 and height 7. What is the total area of all shapes? Please round the result to the nearest integer. | <think>Right triangle with base 7 and height 5: Area = 0.5 x 7 x 5 = 17.5
Right triangle with base 3 and height 1: Area = 0.5 x 3 x 1 = 1.5
Right triangle with base 2 and height 7: Area = 0.5 x 2 x 7 = 7.0</think>
<answer>26</answer> |
Given the following shapes: a right_triangle with base 7 and height 5, a trapezoid with bases 6 and 5 and height 2, a trapezoid with bases 6 and 8 and height 4, a trapezoid with bases 2 and 6 and height 1, a trapezoid with bases 1 and 8 and height 6, a rectangle with width 5 and height 3. What is the total area of all shapes? Please round the result to the nearest integer. | <think>Right triangle with base 7 and height 5: Area = 0.5 x 7 x 5 = 17.5
Trapezoid with bases 6, 5 and height 2: Area = 0.5 x (6 + 5) x 2 = 11.0
Trapezoid with bases 6, 8 and height 4: Area = 0.5 x (6 + 8) x 4 = 28.0
Trapezoid with bases 2, 6 and height 1: Area = 0.5 x (2 + 6) x 1 = 4.0
Trapezoid with bases 1, 8 and height 6: Area = 0.5 x (1 + 8) x 6 = 27.0
Rectangle with width 5 and height 3: Area = 5 x 3 = 15</think>
<answer>102</answer> |
Given the following shapes: a right_triangle with base 8 and height 6, a trapezoid with bases 4 and 8 and height 2, a right_triangle with base 6 and height 2, a right_triangle with base 5 and height 3, a right_triangle with base 4 and height 1. What is the total area of all shapes? Please round the result to the nearest integer. | <think>Right triangle with base 8 and height 6: Area = 0.5 x 8 x 6 = 24.0
Trapezoid with bases 4, 8 and height 2: Area = 0.5 x (4 + 8) x 2 = 12.0
Right triangle with base 6 and height 2: Area = 0.5 x 6 x 2 = 6.0
Right triangle with base 5 and height 3: Area = 0.5 x 5 x 3 = 7.5
Right triangle with base 4 and height 1: Area = 0.5 x 4 x 1 = 2.0</think>
<answer>52</answer> |
Given the following shapes: a right_triangle with base 8 and height 4, a right_triangle with base 8 and height 7, a right_triangle with base 8 and height 8, a square with side 3. What is the total area of all shapes? Please round the result to the nearest integer. | <think>Right triangle with base 8 and height 4: Area = 0.5 x 8 x 4 = 16.0
Right triangle with base 8 and height 7: Area = 0.5 x 8 x 7 = 28.0
Right triangle with base 8 and height 8: Area = 0.5 x 8 x 8 = 32.0
Square with side 3: Area = 3^2 = 9</think>
<answer>85</answer> |
There are 5 shapes on a 3x3 grid: a red right_triangle at position (1, 2), a orange rectangle at position (0, 1), a yellow right_triangle at position (2, 0), a gray rectangle at position (0, 0), a cyan rectangle at position (1, 1). Which shape is closest to the cyan rectangle at position (1, 1) in terms of Manhattan distance? The final answer should be the grid position of the closest shape like (row_index, column_index). | <think>Target shape: cyan rectangle at (1, 1)
Distance from target to red right_triangle at (1, 2): 1
Distance from target to orange rectangle at (0, 1): 1
Distance from target to yellow right_triangle at (2, 0): 2
Distance from target to gray rectangle at (0, 0): 2
Closest shape is the red right_triangle at (1, 2) with distance 1</think>
<answer>(1, 2)</answer> |
Given the following shapes: a square with side 5, a right_triangle with base 8 and height 7. What is the total area of all shapes? Please round the result to the nearest integer. | <think>Square with side 5: Area = 5^2 = 25
Right triangle with base 8 and height 7: Area = 0.5 x 8 x 7 = 28.0</think>
<answer>53</answer> |
There are 4 shapes on a 8x8 grid: a blue rectangle at position (2, 0), a brown right_triangle at position (0, 3), a pink trapezoid at position (2, 4), a purple rectangle at position (6, 3). Which shape is closest to the brown right_triangle at position (0, 3) in terms of Manhattan distance? The final answer should be the grid position of the closest shape like (row_index, column_index). | <think>Target shape: brown right_triangle at (0, 3)
Distance from target to blue rectangle at (2, 0): 5
Distance from target to pink trapezoid at (2, 4): 3
Distance from target to purple rectangle at (6, 3): 6
Closest shape is the pink trapezoid at (2, 4) with distance 3</think>
<answer>(2, 4)</answer> |
Given the following shapes: a trapezoid with bases 7 and 7 and height 6, a square with side 6. What is the total area of all shapes? Please round the result to the nearest integer. | <think>Trapezoid with bases 7, 7 and height 6: Area = 0.5 x (7 + 7) x 6 = 42.0
Square with side 6: Area = 6^2 = 36</think>
<answer>78</answer> |
There are 6 shapes on a 4x4 grid: a brown rectangle at position (2, 0), a yellow right_triangle at position (1, 3), a orange square at position (2, 2), a gray rectangle at position (2, 1), a cyan trapezoid at position (3, 3), a red right_triangle at position (0, 3). Which shape is closest to the orange square at position (2, 2) in terms of Manhattan distance? The final answer should be the grid position of the closest shape like (row_index, column_index). | <think>Target shape: orange square at (2, 2)
Distance from target to brown rectangle at (2, 0): 2
Distance from target to yellow right_triangle at (1, 3): 2
Distance from target to gray rectangle at (2, 1): 1
Distance from target to cyan trapezoid at (3, 3): 2
Distance from target to red right_triangle at (0, 3): 3
Closest shape is the gray rectangle at (2, 1) with distance 1</think>
<answer>(2, 1)</answer> |
There are 6 shapes on a 7x7 grid: a purple square at position (4, 6), a orange square at position (3, 4), a yellow right_triangle at position (1, 3), a green square at position (2, 3), a brown rectangle at position (4, 1), a red rectangle at position (0, 1). Which shape is closest to the orange square at position (3, 4) in terms of Manhattan distance? The final answer should be the grid position of the closest shape like (row_index, column_index). | <think>Target shape: orange square at (3, 4)
Distance from target to purple square at (4, 6): 3
Distance from target to yellow right_triangle at (1, 3): 3
Distance from target to green square at (2, 3): 2
Distance from target to brown rectangle at (4, 1): 4
Distance from target to red rectangle at (0, 1): 6
Closest shape is the green square at (2, 3) with distance 2</think>
<answer>(2, 3)</answer> |
There are 2 shapes on a 4x4 grid: a orange right_triangle at position (2, 1), a yellow right_triangle at position (0, 2). Which shape is closest to the orange right_triangle at position (2, 1) in terms of Manhattan distance? The final answer should be the grid position of the closest shape like (row_index, column_index). | <think>Target shape: orange right_triangle at (2, 1)
Distance from target to yellow right_triangle at (0, 2): 3
Closest shape is the yellow right_triangle at (0, 2) with distance 3</think>
<answer>(0, 2)</answer> |
Given the following shapes: a right_triangle with base 2 and height 6, a trapezoid with bases 6 and 2 and height 7, a rectangle with width 1 and height 1, a square with side 6, a square with side 1. What is the total area of all shapes? Please round the result to the nearest integer. | <think>Right triangle with base 2 and height 6: Area = 0.5 x 2 x 6 = 6.0
Trapezoid with bases 6, 2 and height 7: Area = 0.5 x (6 + 2) x 7 = 28.0
Rectangle with width 1 and height 1: Area = 1 x 1 = 1
Square with side 6: Area = 6^2 = 36
Square with side 1: Area = 1^2 = 1</think>
<answer>72</answer> |
There are 5 shapes on a 8x8 grid: a gray rectangle at position (1, 0), a red right_triangle at position (6, 7), a cyan right_triangle at position (2, 5), a blue square at position (2, 2), a yellow trapezoid at position (3, 1). Which shape is closest to the gray rectangle at position (1, 0) in terms of Manhattan distance? The final answer should be the grid position of the closest shape like (row_index, column_index). | <think>Target shape: gray rectangle at (1, 0)
Distance from target to red right_triangle at (6, 7): 12
Distance from target to cyan right_triangle at (2, 5): 6
Distance from target to blue square at (2, 2): 3
Distance from target to yellow trapezoid at (3, 1): 3
Closest shape is the blue square at (2, 2) with distance 3</think>
<answer>(2, 2)</answer> |
There are 3 shapes on a 3x3 grid: a cyan trapezoid at position (2, 2), a blue trapezoid at position (0, 0), a brown trapezoid at position (2, 0). Which shape is closest to the brown trapezoid at position (2, 0) in terms of Manhattan distance? The final answer should be the grid position of the closest shape like (row_index, column_index). | <think>Target shape: brown trapezoid at (2, 0)
Distance from target to cyan trapezoid at (2, 2): 2
Distance from target to blue trapezoid at (0, 0): 2
Closest shape is the cyan trapezoid at (2, 2) with distance 2</think>
<answer>(2, 2)</answer> |
Given the following shapes: a trapezoid with bases 7 and 9 and height 4, a square with side 9, a rectangle with width 1 and height 3, a right_triangle with base 7 and height 6. What is the total area of all shapes? Please round the result to the nearest integer. | <think>Trapezoid with bases 7, 9 and height 4: Area = 0.5 x (7 + 9) x 4 = 32.0
Square with side 9: Area = 9^2 = 81
Rectangle with width 1 and height 3: Area = 1 x 3 = 3
Right triangle with base 7 and height 6: Area = 0.5 x 7 x 6 = 21.0</think>
<answer>137</answer> |
There are 6 shapes on a 6x6 grid: a red right_triangle at position (4, 3), a cyan rectangle at position (3, 5), a orange rectangle at position (4, 5), a green rectangle at position (5, 3), a blue right_triangle at position (3, 1), a gray trapezoid at position (5, 0). Which shape is closest to the red right_triangle at position (4, 3) in terms of Manhattan distance? The final answer should be the grid position of the closest shape like (row_index, column_index). | <think>Target shape: red right_triangle at (4, 3)
Distance from target to cyan rectangle at (3, 5): 3
Distance from target to orange rectangle at (4, 5): 2
Distance from target to green rectangle at (5, 3): 1
Distance from target to blue right_triangle at (3, 1): 3
Distance from target to gray trapezoid at (5, 0): 4
Closest shape is the green rectangle at (5, 3) with distance 1</think>
<answer>(5, 3)</answer> |
Given the following shapes: a right_triangle with base 2 and height 9, a right_triangle with base 3 and height 5, a right_triangle with base 7 and height 6, a trapezoid with bases 3 and 9 and height 6, a rectangle with width 7 and height 4, a right_triangle with base 8 and height 7. What is the total area of all shapes? Please round the result to the nearest integer. | <think>Right triangle with base 2 and height 9: Area = 0.5 x 2 x 9 = 9.0
Right triangle with base 3 and height 5: Area = 0.5 x 3 x 5 = 7.5
Right triangle with base 7 and height 6: Area = 0.5 x 7 x 6 = 21.0
Trapezoid with bases 3, 9 and height 6: Area = 0.5 x (3 + 9) x 6 = 36.0
Rectangle with width 7 and height 4: Area = 7 x 4 = 28
Right triangle with base 8 and height 7: Area = 0.5 x 8 x 7 = 28.0</think>
<answer>130</answer> |
Given the following shapes: a rectangle with width 2 and height 2, a trapezoid with bases 8 and 5 and height 8, a trapezoid with bases 3 and 5 and height 2. What is the total area of all shapes? Please round the result to the nearest integer. | <think>Rectangle with width 2 and height 2: Area = 2 x 2 = 4
Trapezoid with bases 8, 5 and height 8: Area = 0.5 x (8 + 5) x 8 = 52.0
Trapezoid with bases 3, 5 and height 2: Area = 0.5 x (3 + 5) x 2 = 8.0</think>
<answer>64</answer> |
Given the following shapes: a trapezoid with bases 3 and 2 and height 3, a right_triangle with base 3 and height 4. What is the total area of all shapes? Please round the result to the nearest integer. | <think>Trapezoid with bases 3, 2 and height 3: Area = 0.5 x (3 + 2) x 3 = 7.5
Right triangle with base 3 and height 4: Area = 0.5 x 3 x 4 = 6.0</think>
<answer>14</answer> |
Given the following shapes: a rectangle with width 7 and height 5, a right_triangle with base 2 and height 6, a square with side 6, a square with side 8. What is the total area of all shapes? Please round the result to the nearest integer. | <think>Rectangle with width 7 and height 5: Area = 7 x 5 = 35
Right triangle with base 2 and height 6: Area = 0.5 x 2 x 6 = 6.0
Square with side 6: Area = 6^2 = 36
Square with side 8: Area = 8^2 = 64</think>
<answer>141</answer> |
There are 5 shapes on a 3x3 grid: a yellow trapezoid at position (2, 2), a purple square at position (1, 1), a brown right_triangle at position (0, 0), a green square at position (2, 1), a blue right_triangle at position (2, 0). Which shape is closest to the yellow trapezoid at position (2, 2) in terms of Manhattan distance? The final answer should be the grid position of the closest shape like (row_index, column_index). | <think>Target shape: yellow trapezoid at (2, 2)
Distance from target to purple square at (1, 1): 2
Distance from target to brown right_triangle at (0, 0): 4
Distance from target to green square at (2, 1): 1
Distance from target to blue right_triangle at (2, 0): 2
Closest shape is the green square at (2, 1) with distance 1</think>
<answer>(2, 1)</answer> |
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