Question

What is the area of a regular decagon with an apothem of 9.2 yards long and a side of 6 yards long?(1 point)

277.0 yd2
27.7 yd2
492.0 yd2
554.0 yd2

Answer 1

277.0 yd2

The formula to find the area of a regular decagon is:

Area = (Perimeter * Apothem) / 2

First, we need to find the perimeter of the decagon:

Perimeter = 10 * side length
Perimeter = 10 * 6 yd
Perimeter = 60 yd

Now, we can calculate the area using the formula:

Area = (60 * 9.2) / 2
Area = 552 / 2
Area = 276 yd2

Therefore, the area of a regular decagon with an apothem of 9.2 yards long and a side of 6 yards long is 276 yd2.