# 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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