Answer
Quadratic equation $a^2=75$.
The length of a side of a square $=8.7\;ft$.
Work Step by Step
Given area of the square $=75\;ft^2$.
Equate both areas.
$\Rightarrow a^2=75$
Take the square root on both sides.
$\Rightarrow \sqrt{a^2}=\pm\sqrt{75}$
Simplify.
$\Rightarrow a=\pm8.7\;$
The area cannot have a negative sign.
Hence, the side of the square is $8.7\;ft$.