Question

PLEASE HELP!!!

Find the area of the regular polygon with the given apothem a and side length s.
pentagon, a = 12.4 cm, s = 18 cm
The area is
cm2

Answer 1

496 cm²

Explanation:

Area of polygon :

A = 1/2(p * a)

P = perimeter

a = apothem

Perimeter = 5s (pentagon)

s = side length = 18

P = 5 * 18 = 80 cm

a = 12.4

A = 1/2(80 * 12.4)

A = 1/2(992)

A = 496 cm²