Answer:
The area of the enclosed gazebo is [tex]310.4\ ft^{2}[/tex]
Step-by-step explanation:
I assume that is a regular octagon (eight equal aides)
we know that
The area of a regular polygon is equal to
[tex]A=\frac{1}{2}(P)(a)[/tex]
where
P is the perimeter of the polygon
a is the apothem
Find the perimeter P (the octagon has 8 sides)
[tex]P=8(8)=64\ ft[/tex]
[tex]a=9.7\ ft[/tex]
substitute
[tex]A=\frac{1}{2}(64)(9.7)[/tex]
[tex]A=310.4\ ft^{2}[/tex]
