a regular pentagon has an apothem measuring 3 cm and a perimeter of 21.8 cm. what is the area of the…

Explanation:

Step1: Recall area formula for regular polygon

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

Step2: Substitute given values

Given $a = 3$ cm and $p=21.8$ cm. Substitute into the formula: $A=\frac{1}{2}\times3\times21.8$.

Step3: Calculate the area

First, calculate $\frac{1}{2}\times3 = 1.5$. Then, $1.5\times21.8 = 32.7$ $cm^{2}$.

Answer:

$32.7$ $cm^{2}$