# The question is below?

## The lateral surface area of a square based pyramid having equal edges is $144 \sqrt{3} c {m}^{2}$. Find the area of the base.

Let the length of each edge be $a$ cm.
$4 \cdot \frac{\sqrt{3}}{4} \cdot {a}^{2} = 144 \sqrt{3}$
So ${a}^{2} = 144 c {m}^{2}$