Answer:
The area of the regular octagon is [tex]293.72\ units^{2}[/tex]
Step-by-step explanation:
we know that
The area of the 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=8(7)=56\ units[/tex]
Find the area
[tex]A=\frac{1}{2}(56)(10.49)=293.72\ units^{2}[/tex]
