Question

Help please and simplify answer in radical form if needed

Answer 1

Answer:

$16\sqrt{3}\:\mathrm{units^2}$

Step-by-step explanation:

The area of an equilateral triangle with side length $s$ is equal to $\frac{\sqrt{3}}{4}s^2$. Since the perimeter is 24 units and there are three equal sides to an equilateral triangle, each side is $24\div 3=8$ units.

Substituting in this value, we get:

$\frac{\sqrt{3}}{4}8^2=\frac{64\sqrt{3}}{4}=\boxed{16\sqrt{3}}$