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, you can use the formula:
Area = (Perimeter * Apothem) / 2
First, calculate the perimeter of the hexagon:
Perimeter = 6 * side = 6 * 12 = 72 yards
Now, plug in the values into the formula:
Area = (72 * 10.4) / 2
Area = 748.8 / 2
Area = 374.4 square yards
Therefore, the area of the regular hexagon is 374.4 square yards.