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Mathematics - Calculus - Maximizing Area

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A developer wants to enclose a rectangular grassy lot that borders a city street for parking. If the developer has 640 feet of fencing and does not fence the side along the street, what is the largest area that can be enclosed?

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Solution Summary

This solution contains step-by-step calculations to determine the maximum area that a fence can enclose. Diagrams and explanations are also included.

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Please see the attachment.

Let the length of the lot be x and width be y. Then total length of fence required =
x + y + y = x + 2y
Therefore, x + ...

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