joe wants to fence a rectangular pen for his goats. The length of the pen should be at least 60 ft, and the distance around should be no more than 260 ft. which system of inequalities and graph represent the possible dimensions of the pen?

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jacobrocket17304 jacobrocket17304 · Answer 1 · 2018-01-14T17:46:29+01:00

60(2)+x(2)=260
120+2x=260
2x=140
x=70
its been a while since ive done inequalities so im sry if what i show isnt what you have

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facundo3141592 facundo3141592 · Answer 2 · 2021-12-09T12:14:01+01:00

We want to find a system of inequalities that represents the given situation. We will get the system:

And the graph can be seen at the end.

Remember that a rectangle has two measures, length L, and width W, and the perimeter of the rectangle can be written as:

P = 2*(L + W)

Now we know that:

"The length of the pen should be at least 60 ft"

L ≥ 60ft

"The distance around should be no more than 260 ft."

P = 2*(L + W) ≤ 260ft

So the system of inequalities is just:

Where the third inequality is trivial.

And the graph of it can be seen below, the region of solutions is the region where all the shaded regions intersect (darkest blue region).

If you want to learn more, you can read:

https://brainly.com/question/19526736