Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Find the area of a regular hexagon with an apothem 10.4 yards long and a side 12 yards long. Round your answer to the nearest tenth.
(3 points)
To find the area of a regular hexagon, we can use the formula:
Area = (3√3/2) * s^2
Where s is the length of a side of the hexagon.
Given that the length of a side is 12 yards, we can plug this value into the formula to find the area:
Area = (3√3/2) * (12)^2
= (3√3/2) * 144
≈ 18 * 144
≈ 2592
Therefore, the area of the regular hexagon is approximately 2592 square yards.