Given:
The side length of a regular octagon is 11.7 cm
The apothem is 14.1 cm
We need to determine the area of the regular octagon.
Perimeter of the regular octagon:
The perimeter of the regular octagon is given by
[tex]P=8 \times 11.7[/tex]
[tex]P=93.6 \ cm[/tex]
Thus, the perimeter of the regular octagon is 93.6 cm
Area of the regular octagon:
The area of the regular octagon is given by
[tex]A=\frac{1}{2}( p \times a)[/tex]
Substituting the values, we get;
[tex]A=\frac{1}{2}(93.6 \times 14.1)[/tex]
[tex]A=\frac{1}{2}(1319.76)[/tex]
[tex]A=659.88 \ cm^2[/tex]
Thus, the area of the regular octagon is 659.88 cm²
