Answer:
384√3 in²
Step-by-step explanation:
Given in the question a regular 6 sided polygon
To find it's area you have to use the following formula
<h3> 1/2 x perimeter x apothem</h3>
<em>Perimeter = the sum of the lengths of all the sides </em>
<em>Suppose length of one side = x</em>
<em>Apothem = a segment that joins the polygon's centre to the midpoint of any side that is perpendicular to that side = 8√3</em>
<em />
Since the polygon have 6 sides so
perimeter = 6x
<h3>x = 2(8√3)/√3</h3>
x = 2(8)
x = 16
perimeter = 6(16) = 96 in
plug values in the formula of area
<h3>1/2 x 96 x 8√3</h3>
384√3 in²
