A farmer plans to create a rectangular garden that he will enclose with chicken wire. The garden can be no more than 30 ft wide. The farmer would like to use at most 180 ft. of chicken wire. Write a system of linear inequalities that models this situation.

Question

Mathematics

Jayson Conway

9 April, 07:49

A farmer plans to create a rectangular garden that he will enclose with chicken wire. The garden can be no more than 30 ft wide. The farmer would like to use at most 180 ft. of chicken wire. Write a system of linear inequalities that models this situation.

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Answers (1)

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Marely Lester · Answer 1

P is the perimeter of a rectangular garden.

P = 2 L + 2 W,

where L is the length and W is the width of a rectangle.

W ≤ 30 ft

2 L + 2 W ≤ 180 ft

2 (L + W) ≤ 180

L + W ≤ 180 / 2

L + W ≤ 90

Answer:

A system of inequalities:

W ≤ 30

L + W ≤ 90