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The 16 by 9 rectangle is cut as shown.

16 by 9 rectangle cut into pieces

If the pieces are rearranged to form a square, what is the perimeter of the square?

 

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.
 

This problem is taken from the UKMT Mathematical Challenges.
You can find more short problems, arranged by curriculum topic, in our short problems collection.