Answer
Quadratic equation $a^2=169$.
Length $=13\;m$.
Work Step by Step
Let the side of the square be $=a$.
Area of the square $=a^2$.
Given area of the square $=169\;m^2$.
Equate both areas.
$\Rightarrow a^2=169$
Take the square root on both sides.
$\Rightarrow \sqrt{a^2}=\pm\sqrt{169}$
Simplify.
$\Rightarrow a=\pm13$
The area cannot have a negative sign.
Hence, the side of the square is $13\;m$.
