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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.
To find the area of a regular hexagon, we can use the formula:
Area = (perimeter * apothem) / 2
First, let's find the perimeter of the hexagon. Since a hexagon has 6 sides that are all equal in length, the perimeter is given by:
Perimeter = 6 * side length = 6 * 12 yards = 72 yards
Next, we can substitute the values into the formula to find the area:
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.