Question

Find the area of the square garden which has a path of length $40\sqrt{2}$ cm along the diagonal.

Answer 1

Given the length of the path along the diagonal is $40\sqrt{2}$ cm .

Let the side of the square garden is $a$ cm.

Then according to the problem,

$a\sqrt{2}=40\sqrt{2}$

or, $a=40$.

Then area of the square garden is $a^2=1600$ cm${}^2$.