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

Answer:

The area of the regular pentagon is $A=858.55\ in^{2}$

Step-by-step explanation:

we know that

The area of a regular polygon is equal to

$A=\frac{1}{2}Pa$

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

$A=\frac{1}{2}(111.5)(15.4)$

$A=858.55\ in^{2}$

Answer 2

Answer:

A=858.55\ in^{2}

Step-by-step explanation: