The outer figure is a square and the lines bisect the opposite sides.

What is the area of the central white square?

Correct Answer

Let the side length of the white square be x.

By Pythagoras’ theorem,

x^2+(x+x)^2=(5+5)^2
x^2+(2x)^2=(10)^2
x^2+4x^2=100
5x^2=100
x^2=20

\therefore\;\; A =x^2=20

 

Answer is 20