Question

Find the ratio of area of red square to the area of bigger square.

Assume the side of bigger square to be a.

Answer 1

Answer in the pic above.
$\frac{3-2\sqrt{2}}{4}$ should be the right answer.

Answer 2

ANSWER.


$\frac{ \: area \: of \: smaller \: square }{area \: of \: larger \: square}$


$= \frac{ ({ \sqrt{2 } - 1) }^{2} }{4}$


FORMULA USED.




The Pythagorean Theorem.




SOLUTION.

Kindly look in attachment.