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perimeter of the barn lot

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Mr. Joe plans to fence in a rectangular barn lot for his cows. He plans to make a barbed-wire fence that has 3 strands of wire. He has 3 partly-used rolls of barbed wire and plans to use all of the wire for his fence. He wants to fence in the largest lot possible. One roll of wire has 112'. The second roll has 64', and the third roll has 124' of wire. What will be the perimeter of the barn lot?
If the lot is 20' wide, what will be its length?
If the lot is 20' wide, what will be its area?
If the lot is 40' long, what will be its width?
If the lot is 40' long, what will be its area?
How should the lot be shaped to have as much room inside as possible?

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Solution Summary

The following problem helps with an algebra problem. It helps determine the perimeter of a building and optimize its shape.

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Mr. Joe plans to fence in a rectangular barn lot for his cows. He plans to make a barbed-wire fence that has 3 strands of wire. He has 3 partly-used rolls of barbed wire and plans to use all of the wire for his fence. He wants to fence in the largest lot possible. One roll of wire has 112'. The second roll ...

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