Question

Please help me, i'm so confused

Answer 1

9514 1404 393

Answer:

(d) 512√3

Explanation:

The area (A) of a regular hexagon can be computed from its side length (s) using the formula ...

A = (3√3)/2·s²

Here, the side length is given as ...

s = 32√3/3 = 32/√3

Then the area is ...

`A=(3√(3))/(2)\cdot\left((32)/(√(3))\right)^2=(3√(3)\cdot1024)/(2\cdot3)=\boxed{512√(3)}`

The area of the hexagon is 512√3 square units.