Find the area of a regular hexagon with side length of 12.7 and apothem length of 11. (Type the answer without units, and round to the nearest tenth if your answer is not a whole number.)(1 point)
The area of a regular hexagon can be calculated using the formula:
Area = (1/2) × Perimeter × Apothem
First, calculate the perimeter of the regular hexagon:
Perimeter = 6 × side length
Perimeter = 6 × 12.7
Perimeter = 76.2
Now, substitute the values into the formula:
Area = (1/2) × 76.2 × 11
Area = 381
So, the area of the regular hexagon is 381.