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 thereanother method or visual proof?

**Answer**

**Attribution***Source : Link , Question Author : Agile_Eagle , Answer Author : Seyed*