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What is the total area of all shapes shown in the image, please round the result into the nearest integer? | <think>$\text{Right triangle: } a=5, b=8 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 5 \times 8 = 20.0$
$\text{Square: } s=6 \Rightarrow A=s^2=6^2=36$
$\text{Square: } s=7 \Rightarrow A=s^2=7^2=49$
$\text{Rectangle: } w=9, h=5 \Rightarrow A=w \times h = 9 \times 5 = 45$
$\text{Right triangle: } a=6, b=3 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 6 \times 3 = 9.0$
$\text{Rectangle: } w=9, h=4 \Rightarrow A=w \times h = 9 \times 4 = 36$</think>
<answer>195</answer> |
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What is the total area of all shapes shown in the image, please round the result into the nearest integer? | <think>$\text{Rectangle: } w=8, h=6 \Rightarrow A=w \times h = 8 \times 6 = 48$
$\text{Right triangle: } a=3, b=6 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 3 \times 6 = 9.0$</think>
<answer>57</answer> |
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What is the total area of all shapes shown in the image, please round the result into the nearest integer? | <think>$\text{Trapezoid: } a=4, b=2, h=1 \Rightarrow A=\frac{a+b}2 \times h = \frac{4+2}2 \times 1 = 3.0$
$\text{Right triangle: } a=7, b=8 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 7 \times 8 = 28.0$</think>
<answer>31</answer> |
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There are 3 shapes on a 10x10 grid. Which shape is closest to the orange trapezoid in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index). | <think>Target shape: orange trapezoid at (4, 4)
Distance from target shape to blue trapezoid at (4, 0): 4
Distance from target shape to gray right_triangle at (7, 7): 6
Closest shape is the blue trapezoid at (4, 0) with distance 4</think>
<answer>(4, 0)</answer> |
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There are 3 shapes on a 4x4 grid. Which shape is closest to the purple trapezoid in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index). | <think>Target shape: purple trapezoid at (0, 2)
Distance from target shape to cyan trapezoid at (1, 2): 1
Distance from target shape to gray trapezoid at (3, 0): 5
Closest shape is the cyan trapezoid at (1, 2) with distance 1</think>
<answer>(1, 2)</answer> |
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There are 5 shapes on a 7x7 grid. Which shape is closest to the yellow rectangle in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index). | <think>Target shape: yellow rectangle at (0, 3)
Distance from target shape to red trapezoid at (2, 2): 3
Distance from target shape to brown rectangle at (4, 0): 7
Distance from target shape to blue right_triangle at (4, 2): 5
Distance from target shape to purple right_triangle at (4, 4): 5
Closest shape is the red trapezoid at (2, 2) with distance 3</think>
<answer>(2, 2)</answer> |
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There are 4 shapes on a 8x8 grid. Which shape is closest to the gray trapezoid in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index). | <think>Target shape: gray trapezoid at (6, 2)
Distance from target shape to brown right_triangle at (3, 2): 3
Distance from target shape to green square at (1, 6): 9
Distance from target shape to orange right_triangle at (2, 4): 6
Closest shape is the brown right_triangle at (3, 2) with distance 3</think>
<answer>(3, 2)</answer> |
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What is the total area of all shapes shown in the image, please round the result into the nearest integer? | <think>$\text{Square: } s=2 \Rightarrow A=s^2=2^2=4$
$\text{Square: } s=6 \Rightarrow A=s^2=6^2=36$
$\text{Right triangle: } a=5, b=1 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 5 \times 1 = 2.5$
$\text{Square: } s=4 \Rightarrow A=s^2=4^2=16$
$\text{Trapezoid: } a=2, b=3, h=8 \Rightarrow A=\frac{a+b}2 \times h = \frac{2+3}2 \times 8 = 20.0$
$\text{Right triangle: } a=3, b=4 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 3 \times 4 = 6.0$</think>
<answer>84</answer> |
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What is the total area of all shapes shown in the image, please round the result into the nearest integer? | <think>$\text{Rectangle: } w=6, h=5 \Rightarrow A=w \times h = 6 \times 5 = 30$
$\text{Trapezoid: } a=5, b=8, h=2 \Rightarrow A=\frac{a+b}2 \times h = \frac{5+8}2 \times 2 = 13.0$
$\text{Square: } s=4 \Rightarrow A=s^2=4^2=16$</think>
<answer>59</answer> |
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There are 3 shapes on a 5x5 grid. Which shape is closest to the yellow square in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index). | <think>Target shape: yellow square at (4, 4)
Distance from target shape to green trapezoid at (4, 3): 1
Distance from target shape to blue trapezoid at (0, 1): 7
Closest shape is the green trapezoid at (4, 3) with distance 1</think>
<answer>(4, 3)</answer> |
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What is the total area of all shapes shown in the image, please round the result into the nearest integer? | <think>$\text{Right triangle: } a=2, b=8 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 2 \times 8 = 8.0$
$\text{Right triangle: } a=5, b=7 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 5 \times 7 = 17.5$
$\text{Right triangle: } a=3, b=1 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 3 \times 1 = 1.5$
$\text{Rectangle: } w=8, h=1 \Rightarrow A=w \times h = 8 \times 1 = 8$</think>
<answer>35</answer> |
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What is the total area of all shapes shown in the image, please round the result into the nearest integer? | <think>$\text{Right triangle: } a=7, b=5 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 7 \times 5 = 17.5$
$\text{Trapezoid: } a=1, b=5, h=6 \Rightarrow A=\frac{a+b}2 \times h = \frac{1+5}2 \times 6 = 18.0$
$\text{Trapezoid: } a=1, b=1, h=2 \Rightarrow A=\frac{a+b}2 \times h = \frac{1+1}2 \times 2 = 2.0$
$\text{Trapezoid: } a=8, b=2, h=8 \Rightarrow A=\frac{a+b}2 \times h = \frac{8+2}2 \times 8 = 40.0$
$\text{Rectangle: } w=1, h=4 \Rightarrow A=w \times h = 1 \times 4 = 4$</think>
<answer>82</answer> |
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What is the total area of all shapes shown in the image, please round the result into the nearest integer? | <think>$\text{Right triangle: } a=1, b=6 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 1 \times 6 = 3.0$
$\text{Square: } s=1 \Rightarrow A=s^2=1^2=1$</think>
<answer>4</answer> |
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What is the total area of all shapes shown in the image, please round the result into the nearest integer? | <think>$\text{Right triangle: } a=7, b=8 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 7 \times 8 = 28.0$
$\text{Right triangle: } a=6, b=9 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 6 \times 9 = 27.0$
$\text{Trapezoid: } a=6, b=4, h=5 \Rightarrow A=\frac{a+b}2 \times h = \frac{6+4}2 \times 5 = 25.0$
$\text{Rectangle: } w=4, h=8 \Rightarrow A=w \times h = 4 \times 8 = 32$</think>
<answer>112</answer> |
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What is the total area of all shapes shown in the image, please round the result into the nearest integer? | <think>$\text{Right triangle: } a=9, b=6 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 9 \times 6 = 27.0$
$\text{Trapezoid: } a=4, b=7, h=3 \Rightarrow A=\frac{a+b}2 \times h = \frac{4+7}2 \times 3 = 16.5$
$\text{Trapezoid: } a=3, b=8, h=4 \Rightarrow A=\frac{a+b}2 \times h = \frac{3+8}2 \times 4 = 22.0$
$\text{Square: } s=3 \Rightarrow A=s^2=3^2=9$
$\text{Trapezoid: } a=5, b=1, h=4 \Rightarrow A=\frac{a+b}2 \times h = \frac{5+1}2 \times 4 = 12.0$
$\text{Right triangle: } a=6, b=3 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 6 \times 3 = 9.0$</think>
<answer>96</answer> |
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What is the total area of all shapes shown in the image, please round the result into the nearest integer? | <think>$\text{Square: } s=1 \Rightarrow A=s^2=1^2=1$
$\text{Rectangle: } w=5, h=4 \Rightarrow A=w \times h = 5 \times 4 = 20$
$\text{Right triangle: } a=2, b=7 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 2 \times 7 = 7.0$</think>
<answer>28</answer> |
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There are 2 shapes on a 4x4 grid. Which shape is closest to the yellow rectangle in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index). | <think>Target shape: yellow rectangle at (0, 0)
Distance from target shape to pink square at (3, 2): 5
Closest shape is the pink square at (3, 2) with distance 5</think>
<answer>(3, 2)</answer> |
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There are 5 shapes on a 10x10 grid. Which shape is closest to the yellow square in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index). | <think>Target shape: yellow square at (5, 8)
Distance from target shape to gray trapezoid at (3, 0): 10
Distance from target shape to orange right_triangle at (5, 2): 6
Distance from target shape to cyan rectangle at (2, 0): 11
Distance from target shape to red right_triangle at (4, 8): 1
Closest shape is the red right_triangle at (4, 8) with distance 1</think>
<answer>(4, 8)</answer> |
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There are 6 shapes on a 9x9 grid. Which shape is closest to the purple trapezoid in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index). | <think>Target shape: purple trapezoid at (4, 2)
Distance from target shape to pink right_triangle at (6, 0): 4
Distance from target shape to green trapezoid at (8, 2): 4
Distance from target shape to orange rectangle at (8, 8): 10
Distance from target shape to blue trapezoid at (2, 0): 4
Distance from target shape to brown trapezoid at (2, 4): 4
Closest shape is the pink right_triangle at (6, 0) with distance 4</think>
<answer>(6, 0)</answer> |
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What is the total area of all shapes shown in the image, please round the result into the nearest integer? | <think>$\text{Right triangle: } a=8, b=3 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 8 \times 3 = 12.0$
$\text{Square: } s=9 \Rightarrow A=s^2=9^2=81$
$\text{Square: } s=1 \Rightarrow A=s^2=1^2=1$
$\text{Rectangle: } w=9, h=2 \Rightarrow A=w \times h = 9 \times 2 = 18$</think>
<answer>112</answer> |
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What is the total area of all shapes shown in the image, please round the result into the nearest integer? | <think>$\text{Trapezoid: } a=9, b=8, h=6 \Rightarrow A=\frac{a+b}2 \times h = \frac{9+8}2 \times 6 = 51.0$
$\text{Right triangle: } a=6, b=9 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 6 \times 9 = 27.0$
$\text{Trapezoid: } a=1, b=8, h=7 \Rightarrow A=\frac{a+b}2 \times h = \frac{1+8}2 \times 7 = 31.5$</think>
<answer>110</answer> |
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What is the total area of all shapes shown in the image, please round the result into the nearest integer? | <think>$\text{Trapezoid: } a=8, b=1, h=2 \Rightarrow A=\frac{a+b}2 \times h = \frac{8+1}2 \times 2 = 9.0$
$\text{Trapezoid: } a=6, b=2, h=1 \Rightarrow A=\frac{a+b}2 \times h = \frac{6+2}2 \times 1 = 4.0$
$\text{Square: } s=8 \Rightarrow A=s^2=8^2=64$
$\text{Trapezoid: } a=5, b=4, h=6 \Rightarrow A=\frac{a+b}2 \times h = \frac{5+4}2 \times 6 = 27.0$</think>
<answer>104</answer> |
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There are 4 shapes on a 5x5 grid. Which shape is closest to the purple square in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index). | <think>Target shape: purple square at (1, 0)
Distance from target shape to pink right_triangle at (0, 0): 1
Distance from target shape to red right_triangle at (4, 2): 5
Distance from target shape to blue rectangle at (3, 3): 5
Closest shape is the pink right_triangle at (0, 0) with distance 1</think>
<answer>(0, 0)</answer> |
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There are 3 shapes on a 6x6 grid. Which shape is closest to the blue square in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index). | <think>Target shape: blue square at (2, 4)
Distance from target shape to green right_triangle at (2, 2): 2
Distance from target shape to brown trapezoid at (1, 0): 5
Closest shape is the green right_triangle at (2, 2) with distance 2</think>
<answer>(2, 2)</answer> |
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What is the total area of all shapes shown in the image, please round the result into the nearest integer? | <think>$\text{Square: } s=4 \Rightarrow A=s^2=4^2=16$
$\text{Trapezoid: } a=4, b=8, h=7 \Rightarrow A=\frac{a+b}2 \times h = \frac{4+8}2 \times 7 = 42.0$
$\text{Right triangle: } a=5, b=8 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 5 \times 8 = 20.0$
$\text{Right triangle: } a=2, b=1 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 2 \times 1 = 1.0$
$\text{Trapezoid: } a=8, b=3, h=5 \Rightarrow A=\frac{a+b}2 \times h = \frac{8+3}2 \times 5 = 27.5$
$\text{Trapezoid: } a=3, b=8, h=3 \Rightarrow A=\frac{a+b}2 \times h = \frac{3+8}2 \times 3 = 16.5$</think>
<answer>123</answer> |
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What is the total area of all shapes shown in the image, please round the result into the nearest integer? | <think>$\text{Right triangle: } a=6, b=5 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 6 \times 5 = 15.0$
$\text{Rectangle: } w=3, h=9 \Rightarrow A=w \times h = 3 \times 9 = 27$
$\text{Rectangle: } w=1, h=1 \Rightarrow A=w \times h = 1 \times 1 = 1$
$\text{Rectangle: } w=2, h=9 \Rightarrow A=w \times h = 2 \times 9 = 18$</think>
<answer>61</answer> |
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What is the total area of all shapes shown in the image, please round the result into the nearest integer? | <think>$\text{Trapezoid: } a=9, b=7, h=5 \Rightarrow A=\frac{a+b}2 \times h = \frac{9+7}2 \times 5 = 40.0$
$\text{Right triangle: } a=9, b=4 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 9 \times 4 = 18.0$
$\text{Trapezoid: } a=8, b=4, h=7 \Rightarrow A=\frac{a+b}2 \times h = \frac{8+4}2 \times 7 = 42.0$</think>
<answer>100</answer> |
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What is the total area of all shapes shown in the image, please round the result into the nearest integer? | <think>$\text{Trapezoid: } a=2, b=9, h=8 \Rightarrow A=\frac{a+b}2 \times h = \frac{2+9}2 \times 8 = 44.0$
$\text{Right triangle: } a=1, b=2 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 1 \times 2 = 1.0$
$\text{Right triangle: } a=1, b=6 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 1 \times 6 = 3.0$</think>
<answer>48</answer> |
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There are 4 shapes on a 4x4 grid. Which shape is closest to the orange right_triangle in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index). | <think>Target shape: orange right_triangle at (2, 3)
Distance from target shape to green right_triangle at (0, 3): 2
Distance from target shape to pink rectangle at (2, 2): 1
Distance from target shape to brown rectangle at (3, 2): 2
Closest shape is the pink rectangle at (2, 2) with distance 1</think>
<answer>(2, 2)</answer> |
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What is the total area of all shapes shown in the image, please round the result into the nearest integer? | <think>$\text{Rectangle: } w=2, h=6 \Rightarrow A=w \times h = 2 \times 6 = 12$
$\text{Trapezoid: } a=7, b=7, h=3 \Rightarrow A=\frac{a+b}2 \times h = \frac{7+7}2 \times 3 = 21.0$</think>
<answer>33</answer> |
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There are 3 shapes on a 9x9 grid. Which shape is closest to the red square in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index). | <think>Target shape: red square at (5, 4)
Distance from target shape to blue square at (8, 4): 3
Distance from target shape to purple trapezoid at (0, 5): 6
Closest shape is the blue square at (8, 4) with distance 3</think>
<answer>(8, 4)</answer> |
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There are 3 shapes on a 5x5 grid. Which shape is closest to the brown rectangle in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index). | <think>Target shape: brown rectangle at (1, 4)
Distance from target shape to pink rectangle at (0, 0): 5
Distance from target shape to red right_triangle at (2, 0): 5
Closest shape is the pink rectangle at (0, 0) with distance 5</think>
<answer>(0, 0)</answer> |
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There are 5 shapes on a 8x8 grid. Which shape is closest to the gray right_triangle in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index). | <think>Target shape: gray right_triangle at (3, 6)
Distance from target shape to red square at (1, 6): 2
Distance from target shape to purple square at (5, 0): 8
Distance from target shape to blue right_triangle at (6, 7): 4
Distance from target shape to yellow rectangle at (7, 4): 6
Closest shape is the red square at (1, 6) with distance 2</think>
<answer>(1, 6)</answer> |
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What is the total area of all shapes shown in the image, please round the result into the nearest integer? | <think>$\text{Trapezoid: } a=2, b=6, h=4 \Rightarrow A=\frac{a+b}2 \times h = \frac{2+6}2 \times 4 = 16.0$
$\text{Trapezoid: } a=4, b=7, h=2 \Rightarrow A=\frac{a+b}2 \times h = \frac{4+7}2 \times 2 = 11.0$
$\text{Rectangle: } w=8, h=9 \Rightarrow A=w \times h = 8 \times 9 = 72$
$\text{Trapezoid: } a=2, b=9, h=5 \Rightarrow A=\frac{a+b}2 \times h = \frac{2+9}2 \times 5 = 27.5$
$\text{Rectangle: } w=4, h=5 \Rightarrow A=w \times h = 4 \times 5 = 20$</think>
<answer>146</answer> |
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There are 6 shapes on a 3x3 grid. Which shape is closest to the brown right_triangle in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index). | <think>Target shape: brown right_triangle at (1, 0)
Distance from target shape to green rectangle at (1, 1): 1
Distance from target shape to orange rectangle at (0, 0): 1
Distance from target shape to cyan square at (1, 2): 2
Distance from target shape to purple right_triangle at (0, 2): 3
Distance from target shape to yellow rectangle at (2, 1): 2
Closest shape is the green rectangle at (1, 1) with distance 1</think>
<answer>(1, 1)</answer> |
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There are 3 shapes on a 3x3 grid. Which shape is closest to the cyan rectangle in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index). | <think>Target shape: cyan rectangle at (2, 0)
Distance from target shape to orange right_triangle at (0, 0): 2
Distance from target shape to blue rectangle at (0, 2): 4
Closest shape is the orange right_triangle at (0, 0) with distance 2</think>
<answer>(0, 0)</answer> |
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What is the total area of all shapes shown in the image, please round the result into the nearest integer? | <think>$\text{Rectangle: } w=5, h=9 \Rightarrow A=w \times h = 5 \times 9 = 45$
$\text{Trapezoid: } a=7, b=8, h=2 \Rightarrow A=\frac{a+b}2 \times h = \frac{7+8}2 \times 2 = 15.0$
$\text{Square: } s=7 \Rightarrow A=s^2=7^2=49$
$\text{Square: } s=5 \Rightarrow A=s^2=5^2=25$
$\text{Rectangle: } w=8, h=8 \Rightarrow A=w \times h = 8 \times 8 = 64$
$\text{Right triangle: } a=1, b=3 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 1 \times 3 = 1.5$</think>
<answer>200</answer> |
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There are 5 shapes on a 3x3 grid. Which shape is closest to the cyan right_triangle in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index). | <think>Target shape: cyan right_triangle at (0, 0)
Distance from target shape to purple trapezoid at (0, 2): 2
Distance from target shape to green trapezoid at (2, 2): 4
Distance from target shape to gray right_triangle at (1, 1): 2
Distance from target shape to brown right_triangle at (2, 0): 2
Closest shape is the purple trapezoid at (0, 2) with distance 2</think>
<answer>(0, 2)</answer> |
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What is the total area of all shapes shown in the image, please round the result into the nearest integer? | <think>$\text{Square: } s=7 \Rightarrow A=s^2=7^2=49$
$\text{Rectangle: } w=6, h=4 \Rightarrow A=w \times h = 6 \times 4 = 24$</think>
<answer>73</answer> |
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What is the total area of all shapes shown in the image, please round the result into the nearest integer? | <think>$\text{Right triangle: } a=5, b=8 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 5 \times 8 = 20.0$
$\text{Right triangle: } a=5, b=7 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 5 \times 7 = 17.5$</think>
<answer>38</answer> |
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What is the total area of all shapes shown in the image, please round the result into the nearest integer? | <think>$\text{Trapezoid: } a=7, b=8, h=1 \Rightarrow A=\frac{a+b}2 \times h = \frac{7+8}2 \times 1 = 7.5$
$\text{Trapezoid: } a=8, b=4, h=5 \Rightarrow A=\frac{a+b}2 \times h = \frac{8+4}2 \times 5 = 30.0$</think>
<answer>38</answer> |
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There are 4 shapes on a 7x7 grid. Which shape is closest to the cyan rectangle in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index). | <think>Target shape: cyan rectangle at (1, 5)
Distance from target shape to brown square at (4, 1): 7
Distance from target shape to orange trapezoid at (2, 0): 6
Distance from target shape to purple right_triangle at (5, 1): 8
Closest shape is the orange trapezoid at (2, 0) with distance 6</think>
<answer>(2, 0)</answer> |
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There are 3 shapes on a 6x6 grid. Which shape is closest to the blue square in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index). | <think>Target shape: blue square at (2, 0)
Distance from target shape to red trapezoid at (3, 4): 5
Distance from target shape to yellow rectangle at (4, 5): 7
Closest shape is the red trapezoid at (3, 4) with distance 5</think>
<answer>(3, 4)</answer> |
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What is the total area of all shapes shown in the image, please round the result into the nearest integer? | <think>$\text{Square: } s=6 \Rightarrow A=s^2=6^2=36$
$\text{Right triangle: } a=6, b=5 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 6 \times 5 = 15.0$</think>
<answer>51</answer> |
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There are 2 shapes on a 8x8 grid. Which shape is closest to the blue right_triangle in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index). | <think>Target shape: blue right_triangle at (5, 2)
Distance from target shape to red right_triangle at (3, 0): 4
Closest shape is the red right_triangle at (3, 0) with distance 4</think>
<answer>(3, 0)</answer> |
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There are 3 shapes on a 7x7 grid. Which shape is closest to the orange trapezoid in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index). | <think>Target shape: orange trapezoid at (2, 5)
Distance from target shape to cyan rectangle at (2, 4): 1
Distance from target shape to blue square at (3, 3): 3
Closest shape is the cyan rectangle at (2, 4) with distance 1</think>
<answer>(2, 4)</answer> |
|
There are 2 shapes on a 4x4 grid. Which shape is closest to the green trapezoid in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index). | <think>Target shape: green trapezoid at (1, 1)
Distance from target shape to purple square at (3, 3): 4
Closest shape is the purple square at (3, 3) with distance 4</think>
<answer>(3, 3)</answer> |
|
What is the total area of all shapes shown in the image, please round the result into the nearest integer? | <think>$\text{Right triangle: } a=4, b=8 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 4 \times 8 = 16.0$
$\text{Trapezoid: } a=1, b=9, h=1 \Rightarrow A=\frac{a+b}2 \times h = \frac{1+9}2 \times 1 = 5.0$
$\text{Rectangle: } w=9, h=4 \Rightarrow A=w \times h = 9 \times 4 = 36$
$\text{Trapezoid: } a=4, b=7, h=9 \Rightarrow A=\frac{a+b}2 \times h = \frac{4+7}2 \times 9 = 49.5$</think>
<answer>106</answer> |
|
What is the total area of all shapes shown in the image, please round the result into the nearest integer? | <think>$\text{Square: } s=6 \Rightarrow A=s^2=6^2=36$
$\text{Trapezoid: } a=9, b=1, h=4 \Rightarrow A=\frac{a+b}2 \times h = \frac{9+1}2 \times 4 = 20.0$
$\text{Right triangle: } a=1, b=1 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 1 \times 1 = 0.5$
$\text{Right triangle: } a=7, b=7 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 7 \times 7 = 24.5$
$\text{Rectangle: } w=6, h=6 \Rightarrow A=w \times h = 6 \times 6 = 36$</think>
<answer>117</answer> |
|
What is the total area of all shapes shown in the image, please round the result into the nearest integer? | <think>$\text{Square: } s=4 \Rightarrow A=s^2=4^2=16$
$\text{Right triangle: } a=5, b=9 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 5 \times 9 = 22.5$
$\text{Square: } s=3 \Rightarrow A=s^2=3^2=9$
$\text{Square: } s=4 \Rightarrow A=s^2=4^2=16$
$\text{Square: } s=3 \Rightarrow A=s^2=3^2=9$</think>
<answer>72</answer> |
|
There are 2 shapes on a 9x9 grid. Which shape is closest to the brown square in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index). | <think>Target shape: brown square at (4, 2)
Distance from target shape to purple rectangle at (5, 5): 4
Closest shape is the purple rectangle at (5, 5) with distance 4</think>
<answer>(5, 5)</answer> |
|
What is the total area of all shapes shown in the image, please round the result into the nearest integer? | <think>$\text{Square: } s=5 \Rightarrow A=s^2=5^2=25$
$\text{Rectangle: } w=7, h=9 \Rightarrow A=w \times h = 7 \times 9 = 63$</think>
<answer>88</answer> |
|
There are 5 shapes on a 10x10 grid. Which shape is closest to the brown square in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index). | <think>Target shape: brown square at (2, 5)
Distance from target shape to red rectangle at (1, 4): 2
Distance from target shape to purple rectangle at (1, 5): 1
Distance from target shape to green trapezoid at (4, 9): 6
Distance from target shape to blue right_triangle at (4, 4): 3
Closest shape is the purple rectangle at (1, 5) with distance 1</think>
<answer>(1, 5)</answer> |
|
What is the total area of all shapes shown in the image, please round the result into the nearest integer? | <think>$\text{Rectangle: } w=1, h=3 \Rightarrow A=w \times h = 1 \times 3 = 3$
$\text{Trapezoid: } a=9, b=3, h=4 \Rightarrow A=\frac{a+b}2 \times h = \frac{9+3}2 \times 4 = 24.0$
$\text{Right triangle: } a=3, b=6 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 3 \times 6 = 9.0$
$\text{Right triangle: } a=2, b=5 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 2 \times 5 = 5.0$
$\text{Square: } s=8 \Rightarrow A=s^2=8^2=64$
$\text{Right triangle: } a=9, b=4 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 9 \times 4 = 18.0$</think>
<answer>123</answer> |
|
What is the total area of all shapes shown in the image, please round the result into the nearest integer? | <think>$\text{Trapezoid: } a=3, b=9, h=8 \Rightarrow A=\frac{a+b}2 \times h = \frac{3+9}2 \times 8 = 48.0$
$\text{Square: } s=3 \Rightarrow A=s^2=3^2=9$
$\text{Trapezoid: } a=4, b=8, h=1 \Rightarrow A=\frac{a+b}2 \times h = \frac{4+8}2 \times 1 = 6.0$
$\text{Square: } s=1 \Rightarrow A=s^2=1^2=1$
$\text{Trapezoid: } a=5, b=8, h=1 \Rightarrow A=\frac{a+b}2 \times h = \frac{5+8}2 \times 1 = 6.5$
$\text{Trapezoid: } a=7, b=3, h=1 \Rightarrow A=\frac{a+b}2 \times h = \frac{7+3}2 \times 1 = 5.0$</think>
<answer>76</answer> |
|
There are 2 shapes on a 5x5 grid. Which shape is closest to the pink trapezoid in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index). | <think>Target shape: pink trapezoid at (3, 0)
Distance from target shape to brown rectangle at (2, 0): 1
Closest shape is the brown rectangle at (2, 0) with distance 1</think>
<answer>(2, 0)</answer> |
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What is the total area of all shapes shown in the image, please round the result into the nearest integer? | <think>$\text{Square: } s=1 \Rightarrow A=s^2=1^2=1$
$\text{Right triangle: } a=1, b=6 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 1 \times 6 = 3.0$</think>
<answer>4</answer> |
|
There are 5 shapes on a 3x3 grid. Which shape is closest to the red trapezoid in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index). | <think>Target shape: red trapezoid at (0, 0)
Distance from target shape to orange square at (0, 2): 2
Distance from target shape to pink right_triangle at (1, 0): 1
Distance from target shape to gray rectangle at (1, 2): 3
Distance from target shape to blue trapezoid at (1, 1): 2
Closest shape is the pink right_triangle at (1, 0) with distance 1</think>
<answer>(1, 0)</answer> |
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There are 3 shapes on a 7x7 grid. Which shape is closest to the green square in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index). | <think>Target shape: green square at (3, 0)
Distance from target shape to purple rectangle at (3, 6): 6
Distance from target shape to brown trapezoid at (1, 1): 3
Closest shape is the brown trapezoid at (1, 1) with distance 3</think>
<answer>(1, 1)</answer> |
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There are 5 shapes on a 4x4 grid. Which shape is closest to the brown square in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index). | <think>Target shape: brown square at (1, 3)
Distance from target shape to red rectangle at (1, 2): 1
Distance from target shape to green right_triangle at (2, 1): 3
Distance from target shape to yellow rectangle at (3, 1): 4
Distance from target shape to orange trapezoid at (1, 0): 3
Closest shape is the red rectangle at (1, 2) with distance 1</think>
<answer>(1, 2)</answer> |
|
There are 6 shapes on a 10x10 grid. Which shape is closest to the gray right_triangle in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index). | <think>Target shape: gray right_triangle at (4, 4)
Distance from target shape to pink square at (3, 6): 3
Distance from target shape to purple rectangle at (2, 3): 3
Distance from target shape to brown square at (5, 1): 4
Distance from target shape to yellow trapezoid at (8, 0): 8
Distance from target shape to green trapezoid at (8, 8): 8
Closest shape is the pink square at (3, 6) with distance 3</think>
<answer>(3, 6)</answer> |
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What is the total area of all shapes shown in the image, please round the result into the nearest integer? | <think>$\text{Rectangle: } w=9, h=8 \Rightarrow A=w \times h = 9 \times 8 = 72$
$\text{Rectangle: } w=6, h=6 \Rightarrow A=w \times h = 6 \times 6 = 36$
$\text{Trapezoid: } a=9, b=5, h=3 \Rightarrow A=\frac{a+b}2 \times h = \frac{9+5}2 \times 3 = 21.0$
$\text{Right triangle: } a=5, b=9 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 5 \times 9 = 22.5$
$\text{Rectangle: } w=1, h=4 \Rightarrow A=w \times h = 1 \times 4 = 4$
$\text{Trapezoid: } a=9, b=7, h=5 \Rightarrow A=\frac{a+b}2 \times h = \frac{9+7}2 \times 5 = 40.0$</think>
<answer>196</answer> |
|
There are 6 shapes on a 3x3 grid. Which shape is closest to the blue rectangle in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index). | <think>Target shape: blue rectangle at (0, 1)
Distance from target shape to yellow rectangle at (1, 0): 2
Distance from target shape to green trapezoid at (0, 2): 1
Distance from target shape to orange right_triangle at (1, 1): 1
Distance from target shape to brown right_triangle at (2, 2): 3
Distance from target shape to purple rectangle at (1, 2): 2
Closest shape is the green trapezoid at (0, 2) with distance 1</think>
<answer>(0, 2)</answer> |
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What is the total area of all shapes shown in the image, please round the result into the nearest integer? | <think>$\text{Trapezoid: } a=7, b=7, h=1 \Rightarrow A=\frac{a+b}2 \times h = \frac{7+7}2 \times 1 = 7.0$
$\text{Square: } s=3 \Rightarrow A=s^2=3^2=9$</think>
<answer>16</answer> |
|
What is the total area of all shapes shown in the image, please round the result into the nearest integer? | <think>$\text{Right triangle: } a=1, b=3 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 1 \times 3 = 1.5$
$\text{Rectangle: } w=5, h=8 \Rightarrow A=w \times h = 5 \times 8 = 40$
$\text{Rectangle: } w=8, h=5 \Rightarrow A=w \times h = 8 \times 5 = 40$
$\text{Right triangle: } a=7, b=3 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 7 \times 3 = 10.5$
$\text{Right triangle: } a=2, b=5 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 2 \times 5 = 5.0$</think>
<answer>97</answer> |
|
There are 5 shapes on a 10x10 grid. Which shape is closest to the pink right_triangle in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index). | <think>Target shape: pink right_triangle at (9, 7)
Distance from target shape to purple rectangle at (1, 5): 10
Distance from target shape to red square at (2, 2): 12
Distance from target shape to brown square at (9, 5): 2
Distance from target shape to green trapezoid at (9, 4): 3
Closest shape is the brown square at (9, 5) with distance 2</think>
<answer>(9, 5)</answer> |
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What is the total area of all shapes shown in the image, please round the result into the nearest integer? | <think>$\text{Trapezoid: } a=6, b=1, h=1 \Rightarrow A=\frac{a+b}2 \times h = \frac{6+1}2 \times 1 = 3.5$
$\text{Square: } s=2 \Rightarrow A=s^2=2^2=4$
$\text{Trapezoid: } a=8, b=1, h=9 \Rightarrow A=\frac{a+b}2 \times h = \frac{8+1}2 \times 9 = 40.5$</think>
<answer>48</answer> |
|
What is the total area of all shapes shown in the image, please round the result into the nearest integer? | <think>$\text{Square: } s=8 \Rightarrow A=s^2=8^2=64$
$\text{Rectangle: } w=8, h=4 \Rightarrow A=w \times h = 8 \times 4 = 32$
$\text{Trapezoid: } a=5, b=4, h=4 \Rightarrow A=\frac{a+b}2 \times h = \frac{5+4}2 \times 4 = 18.0$
$\text{Square: } s=4 \Rightarrow A=s^2=4^2=16$
$\text{Rectangle: } w=3, h=9 \Rightarrow A=w \times h = 3 \times 9 = 27$</think>
<answer>157</answer> |
|
There are 3 shapes on a 8x8 grid. Which shape is closest to the gray rectangle in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index). | <think>Target shape: gray rectangle at (2, 5)
Distance from target shape to brown rectangle at (4, 2): 5
Distance from target shape to red right_triangle at (5, 7): 5
Closest shape is the brown rectangle at (4, 2) with distance 5</think>
<answer>(4, 2)</answer> |
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What is the total area of all shapes shown in the image, please round the result into the nearest integer? | <think>$\text{Square: } s=7 \Rightarrow A=s^2=7^2=49$
$\text{Square: } s=9 \Rightarrow A=s^2=9^2=81$</think>
<answer>130</answer> |
|
What is the total area of all shapes shown in the image, please round the result into the nearest integer? | <think>$\text{Right triangle: } a=8, b=3 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 8 \times 3 = 12.0$
$\text{Right triangle: } a=1, b=1 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 1 \times 1 = 0.5$
$\text{Right triangle: } a=4, b=2 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 4 \times 2 = 4.0$</think>
<answer>16</answer> |
|
There are 2 shapes on a 10x10 grid. Which shape is closest to the purple trapezoid in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index). | <think>Target shape: purple trapezoid at (8, 8)
Distance from target shape to brown square at (9, 8): 1
Closest shape is the brown square at (9, 8) with distance 1</think>
<answer>(9, 8)</answer> |
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There are 5 shapes on a 5x5 grid. Which shape is closest to the yellow rectangle in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index). | <think>Target shape: yellow rectangle at (4, 2)
Distance from target shape to gray rectangle at (1, 2): 3
Distance from target shape to brown square at (3, 0): 3
Distance from target shape to cyan square at (4, 1): 1
Distance from target shape to orange rectangle at (3, 4): 3
Closest shape is the cyan square at (4, 1) with distance 1</think>
<answer>(4, 1)</answer> |
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What is the total area of all shapes shown in the image, please round the result into the nearest integer? | <think>$\text{Right triangle: } a=2, b=1 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 2 \times 1 = 1.0$
$\text{Right triangle: } a=2, b=9 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 2 \times 9 = 9.0$
$\text{Rectangle: } w=3, h=3 \Rightarrow A=w \times h = 3 \times 3 = 9$
$\text{Trapezoid: } a=8, b=3, h=4 \Rightarrow A=\frac{a+b}2 \times h = \frac{8+3}2 \times 4 = 22.0$
$\text{Trapezoid: } a=8, b=9, h=7 \Rightarrow A=\frac{a+b}2 \times h = \frac{8+9}2 \times 7 = 59.5$
$\text{Trapezoid: } a=8, b=8, h=8 \Rightarrow A=\frac{a+b}2 \times h = \frac{8+8}2 \times 8 = 64.0$</think>
<answer>164</answer> |
|
What is the total area of all shapes shown in the image, please round the result into the nearest integer? | <think>$\text{Square: } s=6 \Rightarrow A=s^2=6^2=36$
$\text{Trapezoid: } a=7, b=2, h=8 \Rightarrow A=\frac{a+b}2 \times h = \frac{7+2}2 \times 8 = 36.0$
$\text{Right triangle: } a=9, b=6 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 9 \times 6 = 27.0$
$\text{Rectangle: } w=7, h=8 \Rightarrow A=w \times h = 7 \times 8 = 56$
$\text{Rectangle: } w=2, h=5 \Rightarrow A=w \times h = 2 \times 5 = 10$</think>
<answer>165</answer> |
|
There are 5 shapes on a 7x7 grid. Which shape is closest to the pink rectangle in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index). | <think>Target shape: pink rectangle at (0, 2)
Distance from target shape to gray rectangle at (2, 1): 3
Distance from target shape to purple trapezoid at (6, 3): 7
Distance from target shape to red rectangle at (5, 2): 5
Distance from target shape to green right_triangle at (1, 4): 3
Closest shape is the gray rectangle at (2, 1) with distance 3</think>
<answer>(2, 1)</answer> |
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What is the total area of all shapes shown in the image, please round the result into the nearest integer? | <think>$\text{Right triangle: } a=1, b=1 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 1 \times 1 = 0.5$
$\text{Square: } s=5 \Rightarrow A=s^2=5^2=25$
$\text{Square: } s=3 \Rightarrow A=s^2=3^2=9$
$\text{Right triangle: } a=1, b=1 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 1 \times 1 = 0.5$</think>
<answer>35</answer> |
|
There are 5 shapes on a 4x4 grid. Which shape is closest to the brown right_triangle in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index). | <think>Target shape: brown right_triangle at (2, 1)
Distance from target shape to pink right_triangle at (3, 0): 2
Distance from target shape to red trapezoid at (1, 0): 2
Distance from target shape to green rectangle at (3, 2): 2
Distance from target shape to yellow right_triangle at (1, 2): 2
Closest shape is the pink right_triangle at (3, 0) with distance 2</think>
<answer>(3, 0)</answer> |
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There are 6 shapes on a 10x10 grid. Which shape is closest to the blue square in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index). | <think>Target shape: blue square at (9, 5)
Distance from target shape to purple trapezoid at (9, 2): 3
Distance from target shape to green rectangle at (0, 6): 10
Distance from target shape to red right_triangle at (9, 1): 4
Distance from target shape to orange rectangle at (7, 4): 3
Distance from target shape to brown rectangle at (6, 2): 6
Closest shape is the purple trapezoid at (9, 2) with distance 3</think>
<answer>(9, 2)</answer> |
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There are 5 shapes on a 10x10 grid. Which shape is closest to the brown trapezoid in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index). | <think>Target shape: brown trapezoid at (1, 9)
Distance from target shape to gray trapezoid at (5, 4): 9
Distance from target shape to cyan trapezoid at (4, 6): 6
Distance from target shape to orange rectangle at (6, 0): 14
Distance from target shape to green rectangle at (3, 8): 3
Closest shape is the green rectangle at (3, 8) with distance 3</think>
<answer>(3, 8)</answer> |
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There are 2 shapes on a 5x5 grid. Which shape is closest to the orange rectangle in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index). | <think>Target shape: orange rectangle at (3, 4)
Distance from target shape to brown rectangle at (4, 0): 5
Closest shape is the brown rectangle at (4, 0) with distance 5</think>
<answer>(4, 0)</answer> |
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What is the total area of all shapes shown in the image, please round the result into the nearest integer? | <think>$\text{Right triangle: } a=6, b=5 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 6 \times 5 = 15.0$
$\text{Right triangle: } a=3, b=5 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 3 \times 5 = 7.5$
$\text{Rectangle: } w=4, h=4 \Rightarrow A=w \times h = 4 \times 4 = 16$
$\text{Rectangle: } w=8, h=3 \Rightarrow A=w \times h = 8 \times 3 = 24$</think>
<answer>62</answer> |
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There are 5 shapes on a 5x5 grid. Which shape is closest to the cyan rectangle in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index). | <think>Target shape: cyan rectangle at (1, 2)
Distance from target shape to orange square at (2, 1): 2
Distance from target shape to yellow trapezoid at (3, 3): 3
Distance from target shape to blue square at (4, 2): 3
Distance from target shape to gray right_triangle at (4, 3): 4
Closest shape is the orange square at (2, 1) with distance 2</think>
<answer>(2, 1)</answer> |
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There are 6 shapes on a 9x9 grid. Which shape is closest to the blue square in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index). | <think>Target shape: blue square at (1, 3)
Distance from target shape to red right_triangle at (3, 0): 5
Distance from target shape to cyan rectangle at (2, 6): 4
Distance from target shape to orange rectangle at (1, 0): 3
Distance from target shape to yellow trapezoid at (3, 8): 7
Distance from target shape to gray trapezoid at (7, 0): 9
Closest shape is the orange rectangle at (1, 0) with distance 3</think>
<answer>(1, 0)</answer> |
|
There are 6 shapes on a 8x8 grid. Which shape is closest to the green rectangle in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index). | <think>Target shape: green rectangle at (2, 1)
Distance from target shape to blue rectangle at (6, 5): 8
Distance from target shape to brown square at (4, 4): 5
Distance from target shape to red square at (1, 6): 6
Distance from target shape to yellow rectangle at (4, 6): 7
Distance from target shape to cyan right_triangle at (7, 6): 10
Closest shape is the brown square at (4, 4) with distance 5</think>
<answer>(4, 4)</answer> |
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What is the total area of all shapes shown in the image, please round the result into the nearest integer? | <think>$\text{Square: } s=6 \Rightarrow A=s^2=6^2=36$
$\text{Square: } s=9 \Rightarrow A=s^2=9^2=81$</think>
<answer>117</answer> |
|
There are 6 shapes on a 10x10 grid. Which shape is closest to the brown trapezoid in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index). | <think>Target shape: brown trapezoid at (8, 2)
Distance from target shape to red trapezoid at (2, 9): 13
Distance from target shape to gray square at (1, 1): 8
Distance from target shape to cyan square at (7, 7): 6
Distance from target shape to orange right_triangle at (9, 8): 7
Distance from target shape to blue right_triangle at (0, 0): 10
Closest shape is the cyan square at (7, 7) with distance 6</think>
<answer>(7, 7)</answer> |
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What is the total area of all shapes shown in the image, please round the result into the nearest integer? | <think>$\text{Trapezoid: } a=1, b=8, h=4 \Rightarrow A=\frac{a+b}2 \times h = \frac{1+8}2 \times 4 = 18.0$
$\text{Rectangle: } w=2, h=6 \Rightarrow A=w \times h = 2 \times 6 = 12$
$\text{Trapezoid: } a=7, b=9, h=5 \Rightarrow A=\frac{a+b}2 \times h = \frac{7+9}2 \times 5 = 40.0$
$\text{Square: } s=3 \Rightarrow A=s^2=3^2=9$
$\text{Square: } s=5 \Rightarrow A=s^2=5^2=25$
$\text{Square: } s=5 \Rightarrow A=s^2=5^2=25$</think>
<answer>129</answer> |
|
There are 3 shapes on a 4x4 grid. Which shape is closest to the green right_triangle in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index). | <think>Target shape: green right_triangle at (1, 1)
Distance from target shape to red rectangle at (2, 2): 2
Distance from target shape to purple square at (3, 3): 4
Closest shape is the red rectangle at (2, 2) with distance 2</think>
<answer>(2, 2)</answer> |
|
There are 5 shapes on a 5x5 grid. Which shape is closest to the brown square in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index). | <think>Target shape: brown square at (0, 1)
Distance from target shape to green right_triangle at (4, 4): 7
Distance from target shape to purple rectangle at (2, 1): 2
Distance from target shape to cyan square at (2, 2): 3
Distance from target shape to blue rectangle at (3, 1): 3
Closest shape is the purple rectangle at (2, 1) with distance 2</think>
<answer>(2, 1)</answer> |
|
What is the total area of all shapes shown in the image, please round the result into the nearest integer? | <think>$\text{Square: } s=1 \Rightarrow A=s^2=1^2=1$
$\text{Trapezoid: } a=2, b=2, h=7 \Rightarrow A=\frac{a+b}2 \times h = \frac{2+2}2 \times 7 = 14.0$
$\text{Rectangle: } w=5, h=5 \Rightarrow A=w \times h = 5 \times 5 = 25$
$\text{Square: } s=7 \Rightarrow A=s^2=7^2=49$</think>
<answer>89</answer> |
|
There are 3 shapes on a 5x5 grid. Which shape is closest to the red trapezoid in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index). | <think>Target shape: red trapezoid at (1, 4)
Distance from target shape to purple rectangle at (2, 1): 4
Distance from target shape to cyan square at (2, 2): 3
Closest shape is the cyan square at (2, 2) with distance 3</think>
<answer>(2, 2)</answer> |
|
What is the total area of all shapes shown in the image, please round the result into the nearest integer? | <think>$\text{Trapezoid: } a=2, b=1, h=4 \Rightarrow A=\frac{a+b}2 \times h = \frac{2+1}2 \times 4 = 6.0$
$\text{Right triangle: } a=9, b=8 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 9 \times 8 = 36.0$
$\text{Right triangle: } a=6, b=7 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 6 \times 7 = 21.0$
$\text{Rectangle: } w=4, h=4 \Rightarrow A=w \times h = 4 \times 4 = 16$
$\text{Rectangle: } w=7, h=8 \Rightarrow A=w \times h = 7 \times 8 = 56$
$\text{Rectangle: } w=5, h=6 \Rightarrow A=w \times h = 5 \times 6 = 30$</think>
<answer>165</answer> |
|
What is the total area of all shapes shown in the image, please round the result into the nearest integer? | <think>$\text{Right triangle: } a=5, b=3 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 5 \times 3 = 7.5$
$\text{Square: } s=6 \Rightarrow A=s^2=6^2=36$
$\text{Trapezoid: } a=8, b=1, h=5 \Rightarrow A=\frac{a+b}2 \times h = \frac{8+1}2 \times 5 = 22.5$
$\text{Right triangle: } a=1, b=7 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 1 \times 7 = 3.5$
$\text{Trapezoid: } a=9, b=2, h=6 \Rightarrow A=\frac{a+b}2 \times h = \frac{9+2}2 \times 6 = 33.0$
$\text{Square: } s=3 \Rightarrow A=s^2=3^2=9$</think>
<answer>112</answer> |
|
What is the total area of all shapes shown in the image, please round the result into the nearest integer? | <think>$\text{Rectangle: } w=7, h=5 \Rightarrow A=w \times h = 7 \times 5 = 35$
$\text{Right triangle: } a=7, b=8 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 7 \times 8 = 28.0$
$\text{Trapezoid: } a=7, b=2, h=1 \Rightarrow A=\frac{a+b}2 \times h = \frac{7+2}2 \times 1 = 4.5$</think>
<answer>68</answer> |
|
There are 6 shapes on a 9x9 grid. Which shape is closest to the gray right_triangle in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index). | <think>Target shape: gray right_triangle at (7, 4)
Distance from target shape to cyan right_triangle at (3, 6): 6
Distance from target shape to blue square at (6, 0): 5
Distance from target shape to purple rectangle at (8, 3): 2
Distance from target shape to orange square at (0, 8): 11
Distance from target shape to red rectangle at (8, 6): 3
Closest shape is the purple rectangle at (8, 3) with distance 2</think>
<answer>(8, 3)</answer> |
|
There are 4 shapes on a 10x10 grid. Which shape is closest to the orange right_triangle in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index). | <think>Target shape: orange right_triangle at (2, 6)
Distance from target shape to yellow trapezoid at (4, 5): 3
Distance from target shape to red trapezoid at (4, 6): 2
Distance from target shape to blue trapezoid at (4, 9): 5
Closest shape is the red trapezoid at (4, 6) with distance 2</think>
<answer>(4, 6)</answer> |
|
What is the total area of all shapes shown in the image, please round the result into the nearest integer? | <think>$\text{Square: } s=2 \Rightarrow A=s^2=2^2=4$
$\text{Rectangle: } w=6, h=7 \Rightarrow A=w \times h = 6 \times 7 = 42$
$\text{Right triangle: } a=6, b=3 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 6 \times 3 = 9.0$
$\text{Square: } s=3 \Rightarrow A=s^2=3^2=9$
$\text{Trapezoid: } a=6, b=4, h=7 \Rightarrow A=\frac{a+b}2 \times h = \frac{6+4}2 \times 7 = 35.0$
$\text{Rectangle: } w=1, h=8 \Rightarrow A=w \times h = 1 \times 8 = 8$</think>
<answer>107</answer> |
|
There are 2 shapes on a 7x7 grid. Which shape is closest to the purple rectangle in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index). | <think>Target shape: purple rectangle at (1, 0)
Distance from target shape to green square at (0, 5): 6
Closest shape is the green square at (0, 5) with distance 6</think>
<answer>(0, 5)</answer> |
|
There are 2 shapes on a 8x8 grid. Which shape is closest to the cyan square in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index). | <think>Target shape: cyan square at (3, 0)
Distance from target shape to blue right_triangle at (2, 0): 1
Closest shape is the blue right_triangle at (2, 0) with distance 1</think>
<answer>(2, 0)</answer> |
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