Question

a regular hexagon has an apothem of 14.7 inches and a perimeter of 101.8 inches. what is the area of the hexagon? square inches

Explanation:

Step1: Recall the formula for the area of a regular polygon

The formula for the area \(A\) of a regular polygon is \(A=\frac{1}{2}ap\), where \(a\) is the apothem and \(p\) is the perimeter.

Step2: Substitute the given values into the formula

Given \(a = 14.7\) inches and \(p=101.8\) inches.

$$
LATEXBLOCK0
$$

Step3: Calculate the product

$$
LATEXBLOCK1
$$

Answer:

\(748.23\)