# What is the area of a hexagon with side a length of 14?

Apr 7, 2018

color(brown)("Area of hexagon " A_h = 36.37 " sq units"

#### Explanation:

$\text{Area of equilateral triangle } {A}_{t} = \left(\frac{\sqrt{3}}{4}\right) {a}^{2}$

$\text{Area of regular hexagon " A_h = " 6 * Area of equilateral } \Delta {A}_{t}$

"Hence " A_h = 6 * ((sqrt3 / 4) * a^2 = (6 * sqrt3 * 14^2) / 4

${A}_{h} = 21 \sqrt{3} = 36.37 \text{ sq units}$