# Each side of a regular hexagon measures 8 cm. What is the area of the hexagon?

Jun 15, 2017

See below.

#### Explanation:

A regular hexagon is comprised of 6 congruent equilateral triangles.

The area of an equilateral triangle is ${s}^{2} \frac{\sqrt{3}}{4}$, where $s$ is the side length. Since there are 6, the area of a hexagon is $\frac{3}{2} {s}^{2} \sqrt{3}$.

Plugging in $6$ as the side length,

$\frac{3}{2} \left({6}^{2}\right) \sqrt{3} = 54 \sqrt{3}$