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

1 Answer
Apr 7, 2018

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

Explanation:

![https://www.shutterstock.com/image-vector/area-hexagon-279925802](useruploads.socratic.org)

"Area of equilateral triangle " A_t = (sqrt3 / 4) a^2

"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 " sq units"