# An equilateral triangle has a perimeter of 18 units. How do you find the area?

Area $= 9 \sqrt{3} = 15.588 \text{ }$square units

#### Explanation:

The formula for the area of an equilateral triangle is

Area $= \frac{\sqrt{3}}{4} {s}^{2} \text{ " }$ where $s =$side of the equilateral triangle

for an equilateral triangle, $s = \frac{\text{Perimeter}}{3} = \frac{18}{3} = 6$

Solve the Area

Area $= \frac{\sqrt{3}}{4} {s}^{2} = \frac{\sqrt{3}}{4} {\left(6\right)}^{2} = 9 \sqrt{3} = 15.588$

God bless....I hope the explanation is useful.