SOLUTION: A regular hexagon has a perimeter of 120m. Find its area. Leave in simplest radical form

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Question 1111463: A regular hexagon has a perimeter of 120m. Find its area. Leave in simplest radical form
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Each side is 20
There are 6 30-60-90 triangles with half the side (10) opposite to the 30 degree angle. The altitude is 10 sqrt(3)
The area is (1/2) bh=(1/2) 20*10 sqrt (3)=100 sqrt(3)
The area of the whole hexagon is 6 times that or
600 sqrt (3) m ^2.