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yanalaym [24]
4 years ago
6

Darrin is hanging 200 feet of Cristmas garland on the three sides of fencing that enclose his rectangular front yard. The length

, the side along the house, is five feet less than three times the width. Find the length and width of the fencing.
Social Studies
1 answer:
-BARSIC- [3]4 years ago
7 0

Answer :

L = 73.75 feet

W = 26.25 feet

Explanation:

Let the length be given as L

Let the width be given as W

Therefore, the perimeter of the rectangular yard is given by, P = L+L+B+B

P = 2L + 2W   --------------(1)

Given : Length,  L = 3W-5

             P = 200 feet

Therefore, using equation (1), we get

P = 2L + 2W

200 = 2(3W-5) + 2W

200 = 6W - 10 + 2W

200 + 10 = 6W + 2W

210 = 8W

W = 26.25 feet

If W = 26.25 then let's solve for L in P = 2L + 2W

P = 2L + 2W

200 = 2L + 2 (25.25)

200 = 2L + 52.5

2L = 147.5

L = 73.75 feet

Therefore, the length is 73.75 feet

                  the width is  26.25 feet

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