Question

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.

Answer 1

Let L = length and W = width

Answer 2

"The garden can be no more than 30 ft wide" what does that translate into?

Answer 3

\[w \le30\]

Answer 4

"Write a system of linear inequalities" implies there is more than one inequality

Answer 5

Say P is the perimeter, so if "The farmer would like to use at most 180 ft. of chicken wire", then\[p \le180\]

Answer 6

P = 2L + 2W, so we can replace the P in the inequality with 2L + 2W to get
\[2L + 2W \le 180\]

Answer 7

\[2(L + W) \le 180\]

Answer 8

Thanks I got it now. :)

Answer 9

good :D