9514 1404 393
Answer:
(d) 512√3
Step-by-step 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 ...
[tex]A=\dfrac{3\sqrt{3}}{2}\cdot\left(\dfrac{32}{\sqrt{3}}\right)^2=\dfrac{3\sqrt{3}\cdot1024}{2\cdot3}=\boxed{512\sqrt{3}}[/tex]
The area of the hexagon is 512√3 square units.
