Answer:
Aha..our nemesis problem. :)
The area is 129.90 ft ^2.
Explanation:
First, use a 30-60-90 triagle to find the apothem.

That is the area of 1 triangle. There are 6 of them in a hexagon, so multiply that number by 6:
21.65*6=129.90 ft ^2
Have a great day!