1. (05.03)

Calculate the area of the regular pentagon below:
A regular pentagon with a side length of 11.8 inches and a dotted line from center to middle of side of 8.1 inches.

(4 points)
164.025 square inches
238.95 square inches
351.78 square inches
477.9 square inches

Given:

A regular pentagon with a side length of 11.8 inches and a dotted line from center to middle of side of 8.1 inches.

To find:

The area of the regular polygon.

Solution:

We have,

Side length = 11.8 inches

Length of Apothem = 8.1 inches

Area of a triangle is

A regular pentagon has 5 equal sides and equal interior angles. The lines from the center to the vertices divide the pentagon in 5 equal triangle.

Area of one triangle is

Area of five equal triangle is

So, the area of the pentagon is 238.95 square inches.

Therefore, the correct option is B.

so then what are you asking?

step-by-step explanation:

a variable is any characteristics, number, or quantity that can be measured or counted. a variable may also be called a data item. hope i !