Chapter 11.2, Problem 18WE

To determine

To Find: The area.

Answer to Problem 18WE

  $A=150\sqrt{3}sq.unit$

Explanation of Solution

Given: A regular hexagon with perimeter $60$ .

  

Perimeter: $60$

i.e.

  $\begin{array}{l}60=6a\\ a=10\end{array}$

Now

Area of regular hexagon.

  $\begin{array}{l}A=\frac{\sqrt{3}{P}^2}{24}\\ A=\frac{\sqrt{3}{(60)}^2}{24}\\ A=150\sqrt{3}sq.unit\end{array}$

Hence, $A=150\sqrt{3}sq.unit$