The Bullfrog

The bullfrog below is composed of four triangles and two rectangles. The triangles are all 45-45-90 triangles, and the short sides of the large triangles are twice as long as the short sides of the small triangles. The rectangles are twice as long as they are wide, and the long sides of the rectangles are exactly as long as the long sides of the small triangles.

It is relatively easy to rearrange the pieces of the bullfrog to make three squares. (do you see how?) It is quite a bit more challenging to rearrange the pieces of the bullfrog to make two squares, but it can be done! Can you figure out how to do this? (the solution is a little tricky, so try to think flexibly)