Question

PLEASE HELP!!!!!!!!!!!!!!!!!

Answer 1

For any regular polygon, the area can be expressed in terms of its apothem
`a` and its perimeter
`p` like this:


`A =(ap)/(2)`

For the problem the apothem
`a=4√(3)`

So we need to find the perimeter. A regular hexagon is built up by equilateral triangles, so the radius is equal to each side, therefore the perimeter is given by:


`p=6r=6(8)=48`

Finally, if we substitute in the first equation:


`A =(4√(3)* 48)/(2)=166.27`