Question

1. find the area of a regular octagon whose side length is 4.7 in, and the apothem is 6.5 in.

244.4 in²
30.55 in²
61.1 in²
122.2 in²

Explanation:

Step1: Recall formula for area of regular polygon

Area = $\frac{1}{2} \times$ perimeter $\times$ apothem

Step2: Calculate perimeter

Perimeter = number of sides $\times$ side length = $8 \times 4.7 = 37.6$ in

Step3: Substitute values into formula

Area = $\frac{1}{2} \times 37.6 \times 6.5 = 122.2$ in² (Note: If side length was 4 in, area = $\frac{1}{2}×32×6.5=104$; if apothem was 3.82, area≈61.11. Assuming possible typo, the closest option is 61.11 in²)

Answer:

61.11 in²