Answer:
[tex]3(\sqrt{3}/2)a^2[/tex]
Step-by-step explanation:
The area of a hexagon is:
[tex]3(\sqrt{3}/2)a^2[/tex]
And the area of the rectangle is length multiplied by width:
[tex]L x W = 20\cdot{32}=640 ft^2[/tex]
The area of the hexagon is the area of the of the rectangle plus the area of the that remains of the hexagon. We need the remaining area:
[tex]3(\sqrt{3}/2)a^2[/tex] - [/tex]640=1.732a^2-640[/tex]
with a being the side of the hexagon. In this case the side is not given