Question

Find the area of the regular
pentagon.
5.5 cm
8 cm

Answer 1

Area = 110 cm²

Explanation:

You can find the area of a regular pentagon by finding the area of one of the triangles created by its central angle and multiplying it by 5.

1. Use the formula for the area of a triangle to find the area of the triangle formed by its central angle.

`A = (1)/(2) bh\\\\A = (1)/(2)8(5.5)\\\\A = (1)/(2)44\\\\A = 22`

2. Multiply this area by 5 to get the area of the entire pentagon.

A = 22(5)

A = 110