Answer:
Step-by-step explanation:
One way to find the area of the hexagon is to use the formula [tex]A=\frac{1}{2}ap[/tex], where p is the perimeter and a is the apothem (distance from the center to the midpoint of one side).
The problem says the side length is 20, so the perimeter is 6 x 20 = 120.
The apothem is the distance marked by the dotted line. The rectangles height is [tex]20\sqrt{3}[/tex], so the apothem is half of that, [tex]10\sqrt{3}[/tex].
The area is [tex]\frac{1}{2}\cdot 10\sqrt{3} \cdot 120=600\sqrt{3}[/tex]
