Question

calculate the area of the regular polygon. 8.4 cm 10 cm > enter the answer in the space provided. use numbers instead of words. square centimeters

Explanation:

Step1: Recall area formula for regular polygon

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

Step2: Identify apothem and side - length

The apothem $a = 8.4$ cm and the side - length of the hexagon is $s=10$ cm.

Step3: Calculate the perimeter

For a hexagon ($n = 6$), the perimeter $P=ns$. So, $P = 6\times10=60$ cm.

Step4: Calculate the area

Substitute $a = 8.4$ cm and $P = 60$ cm into the area formula $A=\frac{1}{2}aP$. Then $A=\frac{1}{2}\times8.4\times60$.
$A = 252$ square centimeters.

Answer:

252