Question

PLEASE HELP ASAP!!

Answer 1

Answer:

The area of the hexagon is $96\sqrt{3}\ cm^{2}$

Step-by-step explanation:

we know that

The area of the hexagon is equal to

$A=\frac{1}{2}Pa$

where

P is the perimeter of the hexagon

a is the apothem

Find the Perimeter P

$P=6(8)=48\ cm$

Find the apothem a

$a=(8)sin(60\°)$

$a=8(\frac{\sqrt{3}}{2})=4\sqrt{3}\ cm$

Find the area of the hexagon

$A=\frac{1}{2}(48)(4\sqrt{3})=96\sqrt{3}\ cm^{2}$