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Points P, Q, R and S each divide the sides AB, BC, CD and DA respectively in the ratio of 2 : 1. Join the points. What is the area of the parallelogram PQRS in relation to the original rectangle?

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Triangles' Triangle

Weekly Problem 27 - 2009
The perimeter of a large triangle is 24 cm. What is the total length of the black lines used to draw the figure?

Square in a Triangle

Can you make some congruent triangles using some simple construction lines?

This problem is taken from the UKMT Mathematical Challenges.