Question

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

Answer 1

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

Explanation:

`"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"`