Answer:
110.1 cm^2 to nearest tenth.
Explanation:
The area consists of 5 isosceles triangles with base angles 1/2 * 108 = 54 degrees.
Using trigonometry to find the height of these triangles:
tan 54 = h / (1/2 * 8)
tan 54 = h / 4
h = 4 tan 54
h = 5.506 cm.
The area of a triangle = 4 * 5.506 = 22.024 cm^2
So the area of the pentagon 5 * 22.024
= 110.12 cm^2.
