Question

A regular hexagon has a perimeter of 70 m. Find its area. Leave your answer in simplest radical form.

Answer 1

a HEXA=6, gon, has 6 sides, and we know the perimeter, all sides added up, is 70, so one side is just 70/6, or 35/3


`\bf \textit{area of a polygon}\\\\ A=\cfrac{1}{4}ns^2\ cot\left( (180)/(n) \right)\qquad \begin{cases} n=\textit{number of sides}\\ s=\textit{length of one side}\\ (180)/(n)=\textit{angle in degrees}\\ ----------\\ n=6\\ s=(35)/(3) \end{cases} \\\\\\ A=\cfrac{1}{4}\cdot 6\cdot \left( (35)/(3) \right)^2\cdot ot\left( (180)/(6) \right)`