Answer:
444.6 square yards.
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:
[tex]\begin{gathered} A=6\times\text{Area of one equilateral triangle} \\ =6\times\frac{1}{2}bh \\ =6\times\frac{1}{2}\times13\times11.4 \\ =444.6\text{ square yards} \end{gathered}[/tex]The area of a regular hexagon with an apothem 11.4 yards long and a side 13 yards is 444.6 square yards.
