<PRE><B>Question 306090</B>
A regular hexagon has a perimeter of 130m. Find its area. Leave your answer in simplest radical form.
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Each side is 130/6 = 65/3 meters
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For all regular polygons with n sides of length s:
{{{Area = ns^2*cot(180/n)/4}}}
= {{{6*(65/3)^2*cot(30)/4}}}
= {{{6*4225*sqrt(3)/36}}}
= {{{4225sqrt(3)/6}}} sq meters
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