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Andre45 [30]
3 years ago
10

Andrew is creating a rectangular dog run in his back yard. The length of the dog run is 20 feet. The perimeter of the dog run mu

st be at least 48 feet and no more than 80 feet. Use a compound inequality to find the range of values for the width of the dog run.
Mathematics
1 answer:
worty [1.4K]3 years ago
5 0

Answer:

Step-by-step explanation:

Perimiter = distance around. In this case the sum of the lengths and breadths of the dog run.

let a = length and b = breadth

2a + 2b ≥ 48

2a + 2b ≤ 80

since a = 20, we substitute for a in both equations

2 (20) + 2b ≥ 48

40 + 2b ≥ 48

2b ≥ 48 - 40

2b ≥ 8

b ≥ 4

In the second equation, we have;

2(20) + 2b ≤ 80

40 +2b ≤ 80

2b ≤ 80 - 40

2b ≤ 40

b ≤ 20

So the width must be between 4ft and 20ft for the dog run to be within the requisite criteria

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1. We must use the next formula to find the slope

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Now, replacing the points in the formula for the slope

m=\frac{14-11}{8-2}=\frac{3}{6}=\frac{1}{2}

2. We must replace the slope and one of the points in the next formula

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Now, replacing the slope and the point (2, 11)

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