Question

practice with area of regular polygons. a regular pentagon has an apothem measuring 20 cm and a perimeter of 145.3 cm. what is the area of the pentagon? square centimeters

Explanation:

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

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

Step2: Substitute the given values into the formula

Given \(a = 20\) cm and \(P=145.3\) cm. Then \(A=\frac{1}{2}\times20\times145.3\).
First, calculate \(\frac{1}{2}\times20 = 10\).
Then, \(A=10\times145.3\).

Answer:

\(1453\)