Answer :
Answer:
The area of the octagon is 505.76 [tex]inches^{2}[/tex]
Step-by-step explanation:
In this question, we are tasked with calculating the area of an octagon given the values of the apothem and the perimeter
Mathematically, the area can be calculated using the formula below;
Area = 1/2 × apothem × perimeter
where according to the question, the apothem = 11.6 inches and the perimeter = 87.2 inches
Plugging these value into the equation given above, we have
Area = 1/2 × 11.6 × 87.2 = 505.76 [tex]inches^{2}[/tex]