Question

Find the area of a hexagon with sides 20 mm long. Round your answer to the nearest tenth

Answer 1

When you know the length of the sides of a hexagon you use the next formula to find its area:

`A=(3√(3))/(2)s^2`

s is the length of the sides

For the given hexagon:

`\begin{gathered} A=(3√(3))/(2)(20mm)\placeholder{⬚}^2 \\ \\ A=(3√(3))/(2)(400mm^2) \\ \\ A=3√(3)(200mm^2) \\ \\ A=600√(3)mm^2 \\ \\ A\approx1039.2mm^2 \end{gathered}`Then, the area of the given hexagon is 1039.2 square millimeters