Question

Find the area of the regular polygon. Give the answer to the nearest tenth.

pentagon with a side of 6 m

Answer 1

A = 5 triangles A = (b*h)/2 b = 6 h =? <54 degrees
sina/a=sinb/b
sin72/6 = sin54 /b b = 5.1
h^2 + b^2 = c^2
36 - 5.1^2 = h^2
h = 3.154
A = 6 *3.154 / 2 * 5 = 47.315