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

Answer:

Step-by-step explanation:

Height of the triangle = apothem = 9 inches

Base = 6 inches

$Area \ of \ triangle = \frac{1}{2}bh\\\\=\frac{1}{2}*6*9\\\\= 3*9\\\\= 27 \ in^{2}$

Area of regular polygon = Area of 5 triangle.

                                        = 5 * 27

                                        = 135 square inches