Question

Find the area of a regular hexagon with an apothem 11.4 yards long and a side 13 yards pong. Round your answer to the nearest tenth.

Answer 1

444.6 square yards.

Step-by-step explanation:

• A regular hexagon is divided into 6 equilateral triangles.

,

• The apothem is the height of each equilateral triangle.

,

• The side length is the base of each triangle.

Thus, the area of the hexagon will be:

`\begin{gathered} A=6*\text{Area of one equilateral triangle} \\ =6*(1)/(2)bh \\ =6*(1)/(2)*13*11.4 \\ =444.6\text{ square yards} \end{gathered}`

The area of a regular hexagon with an apothem 11.4 yards long and a side 13 yards is 444.6 square yards.