Question

A hexagon has all congruent sides. The rectangle inside the hexagon is 20ft by 32 ft. Find the total area of the hexagon.

Answer 1

`3(√(3)/2)a^2`

Explanation:

The area of a hexagon is:

`3(√(3)/2)a^2`

And the area of the rectangle is length multiplied by width:

`L x W = 20\cdot{32}=640 ft^2`

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:

`3(√(3)/2)a^2` - [/tex]640=1.732a^2-640[/tex]

with a being the side of the hexagon. In this case the side is not given