Answer:
Aha..our nemesis problem. :)
The area is 129.90 ft ^2.
Step-by-step explanation:
First, use a 30-60-90 triagle to find the apothem.
[tex]5\sqrt{3} =8.66\\8.66*5=43.30\\43.30/2=21.65\\[/tex]
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!