Question

A hexagon has an area of 150root3. find the length of one of the sides

Answer 1

The formula of the area of a hexagon is

`A=\frac{3\sqrt[]{3}s^2}{2}`

Where s = 150(root)3. Then,

`150\sqrt[]{3}=\frac{3\sqrt[]{3}s^2}{2}`

Then, we solve for s

`\begin{gathered} 2\cdot150=3s^2 \\ (300)/(3)=s^2 \\ s=\sqrt[]{100} \\ s=10 \end{gathered}`

Hence, each side has a length of 10.