Question

Find the area of a regular

polygon with 5 sides that has a
side length of 6 inches and an
apothem of 9 inches.

Answer 1

Explanation:

Height of the triangle = apothem = 9 inches

Base = 6 inches

`Area \ of \ triangle = (1)/(2)bh\\\\=(1)/(2)*6*9\\\\= 3*9\\\\= 27 \ in^(2)`

Area of regular polygon = Area of 5 triangle.

= 5 * 27

= 135 square inches