Gretchen is refinishing her gazebo that is in the shape of a regular octagon.The length of one side is 3 feet and the apothem is 3.5 feet.What is the area that Gretchen will be refinishing?

Question

Quizplus · Accepted Answer

The area of a regular polygon can be calculated using the formula $ \frac{1}{2} \times \text{Perimeter} \times \text{Apothem} $. For a regular octagon with each side of 3 feet and an apothem of 3.5 feet, the perimeter is $ 3 \times 8 = 24 $ feet. Thus, the area is $ \frac{1}{2} \times 24 \times 3.5 = 42 $ square feet.

Gretchen Is Refinishing Her Gazebo That Is in the Shape