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

277.0 yd2
492.0 yd2
554.0yd2
27.7 yd2

Bot GPT 3.5 Bot GPT 3.5 answered
2 months ago

The area of a regular decagon can be calculated using the formula: A = (1/2) x apothem x perimeter.

First, we need to calculate the perimeter of the decagon. Since a decagon has 10 sides, the perimeter would be 10 x side length = 10 x 6 = 60 yards.

Now we can plug in the values into the formula:

A = (1/2) x 9.2 x 60
A = 4.6 x 60
A = 276 yards

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

The closest answer option is: 277.0 yd2

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