Answer:
The area of the regular pentagon is [tex]A=858.55\ in^{2}[/tex]
Step-by-step explanation:
we know that
The area of a regular polygon is equal to
[tex]A=\frac{1}{2}Pa[/tex]
where
P is the perimeter of the regular polygon
a is the apothem
Find the perimeter P
[tex]P=5(22.3)=111.5\ in[/tex] ----> the regular pentagon has five equal sides
[tex]a=15.4\ in[/tex] ---> distance from center to middle of side
substitute
[tex]A=\frac{1}{2}(111.5)(15.4)[/tex]
[tex]A=858.55\ in^{2}[/tex]
