Find the area of the regular decagon if the apothem is 2.8 ft. and a side is 1.8 ft. round to the nearest whole number.

2 answers
Question:

Find the area of the regular decagon if the apothem is 2.8 ft. and a side is 1.8 ft. round to the nearest whole number.

Answers

Perimeter = 1.8 * 10 = 18
Area = (1/2)(perimeter)(apothem)
Area = (1/2)(18)(2.8)
Area = 25.2

We know that
Area of a regular polygon = (1/2)*apothem*perimeter
perimeter of the regular decagon=10*a
where
a is the length  side of the decagon
in this problem
a=1.8 ft
so
perimeter of the regular decagon=10*1.8> 18 ft

Area of a regular decagon = (1/2)*2.8*18> 25.2 ft²
Round to the nearest whole number> 25 ft²

the answer is
25 ft²

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