Respuesta :
Using area of regular Polygon, the perimeter of the total grazing area of regular polygon is 100 feet and the cost to place a fence around the entire grazing area is $795.
According to the question,
You need to create a fenced off region of land for cattle to graze. The grazing area must be a total of 500 square feet, surrounded by a fence, and in the shape of a regular polygon.
Within this grazing area, the length of the apothem must be 10 feet long.
- In part 1 we asked to find the total perimeter of the grazing area using below polygon formula
The formula of the area of regular polygon = ap/2
Where a is apothem and p is the perimeter.
500 = 10 x p/2
1,000 = 10 x p
100 = p
Hence the perimeter of regular polygon the total grazing area is 100 feet.
- In part 2, the cost of the fence is $7.95 per linear foot, how much will it cost to place a fence around the entire grazing area
Now cost of fencing 1 foot = $7.59
So, cost of fencing 100 feet = 7.59 x 100 = 759
Hence, the cost to place a fence around the entire grazing area of polygon is $795.
Learn more about polygon here
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