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. Part 1. Find the total perimeter of the grazing area. Part 2. If the cost of the fence is $7.95 per linear foot, how much will it cost to place a fence around entire grazing area? Part 3. Suppose this grazing area is 1/60 of an Industrial grazing area for a major industry farm. What is the total cost to build a fence around the entire land of the large scaled farm?

Question

Ashton Michael

Mathematics

27 April, 09:44

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. Part 1. Find the total perimeter of the grazing area. Part 2. If the cost of the fence is $7.95 per linear foot, how much will it cost to place a fence around entire grazing area? Part 3. Suppose this grazing area is 1/60 of an Industrial grazing area for a major industry farm. What is the total cost to build a fence around the entire land of the large scaled farm?

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Answers (1)

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Ashleigh · Answer 1

A.

the area of a polygon is/

A = perimeter X apothem / 2

A=500

apothem = 10

500 = (P * 10) / 2

P = 100

B. 100*7.95 = $795

C.

60*100 = 6,000

6,000 * $7.95=

$47,520