Area of a square inside a square created by connecting point-opposite midpoint

Square of unit length

Square ABCD has area 1cm2 and sides of 1cm each.

H,F,E,G are the midpoints of sides AD,DC,CB,BA respectively.

What will the area of the square formed in the middle be?

I know that this problem can be solved by trigonometry by using Area of triangle (12absinc) but,
is there another method or visual proof?


By moving small triangles we can make 5 equal small squares.
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Source : Link , Question Author : Agile_Eagle , Answer Author : Seyed

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