SOLUTION: A regular hexagon has a perimeter of 54cm. What is the area of this hexagon to the nearest square centimeter?

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Question 357229: A regular hexagon has a perimeter of 54cm. What is the area of this hexagon to the nearest square centimeter?
Answer by robertb(5830) About Me  (Show Source):
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Each side of the hexagon is 9cm. The regular hexagon can be divided into 6 congruent equilateral triangles with a common vertex at the center of the hexagon. Each triangle has height 9sqrt%283%29%2F2. Therefore each triangle has area %281%2F2%29b%2Ah+=+%281%2F2%29%2A9%2A%289sqrt%283%29%2F2%29=%2881sqrt%283%29%2F4%29+. Therefore area of the hexagon is 6%2A%2881sqrt%283%29%2F4%29+=+243sqrt%283%29%2F2sq.cm.