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I would like to create a rectangular vegetable patch. The fencing for the east and west...

I would like to create a rectangular vegetable patch. The fencing for the east and west sides costs $4 per foot, and the fencing for the north and south sides costs only $2 per foot. I have a budget of $176 for the project. What are the dimensions of the vegetable patch with the largest area I can enclose? HINT [See Example 2.].

North East sides =

East and West sides =

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