SOLUTION: the length of sides of a regular hexagon is 10 cms. The area of the hexagon is

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Question 92340: the length of sides of a regular hexagon is 10 cms. The area of the hexagon is
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
Area of a regular polygon: (1/2)Pa
P ~> Perimeter
a ~> Apothem
You can cut a regular hexagon into six equilateral triangles.
If you divide one triangle in half, you get a 90-60-30 triangle with a base of 5cm. Using a basic theory, we get the apothem as 5*sqrt(3).
(1/2)Pa
(1/2)(6)(10)(5*sqrt(3))
150*sqrt(3)