Rectangle dissection

Weekly Problem 2 - 2009
The 16 by 9 rectangle is cut as shown. Rearrange the pieces to form a square. What is the perimeter of the square?

Problem



The 16 by 9 rectangle is cut as shown.

Image
Rectangle Dissection


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.