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'Weekly Problem 33 - 2006' printed from http://nrich.maths.org/

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The diagram shows a right-angled isosceles triangle $XYZ$ which circumscribes a square $PQRS$. The area of triangle $XYZ$ is $x$. What is the area of square $PQRS$?

Triangle
 
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This problem is taken from the UKMT Mathematical Challenges.

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