Can I Prove That Rectangle ABCD and Square BFGH Have the Same Area?

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We are given that ABCD is a rectangle and AE is the diameter of the circle, and BFGH is a square. I want to figure out how to show that ABCD has the same area as BFGH. Where do I even begin? (see attached picture)
 

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DEMJR said:
We are given that ABCD is a rectangle and AE is the diameter of the circle, and BFGH is a square. I want to figure out how to show that ABCD has the same area as BFGH. Where do I even begin? (see attached picture)

The only thing you have to go on is the BE equals BC.

Note that if x = sin(a) then b = 1 - cos(a)
 
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prove that measure x equals the square root of a times b. complete the circle and extend line BF through the completed circle.
 

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