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) Responses 492.0 yd2 492.0 yd squared 27.7 yd2 27.7 yd squared 277.0 yd2 277.0 yd squared 554.0yd2

Answer 1

The area of a regular decagon can be calculated using the formula:

Area = (Perimeter x Apothem) / 2

In a regular decagon, all sides are equal in length. Therefore, the perimeter can be calculated as:

Perimeter = 10 x side length = 10 x 6 = 60 yards

Now, we can calculate the area using the given apothem of 9.2 yards:

Area = (60 x 9.2) / 2 = 552 yards

So, the area of the regular decagon is 552 square yards. The closest option provided is 554.0 yd2, which is likely rounding to the nearest tenth.