Question

(05.03)Calculate the area of the regular pentagon below: A regular pentagon with side length of 22.3 inches and dotted line from center to middle of side of 15.4 inches.

Answer 1

A=858.55\ in^{2}

Explanation:

Answer 2

The area of the regular pentagon is
`A=858.55\ in^(2)`

Explanation:

we know that

The area of a regular polygon is equal to

`A=(1)/(2)Pa`

where

P is the perimeter of the regular polygon

a is the apothem

Find the perimeter P

`P=5(22.3)=111.5\ in` ----> the regular pentagon has five equal sides

`a=15.4\ in` ---> distance from center to middle of side

substitute

`A=(1)/(2)(111.5)(15.4)`

`A=858.55\ in^(2)`