Question: A person wants to plant a rectangular garden along one side of a house and put a fence on the other three sides. (See Fig.

A person wants to plant a rectangular garden along one side of a house and put a fence on the other three sides. (See Fig. 1.) Using the method of Lagrange multipliers, find the dimensions of the garden of greatest area that can be enclosed with 40 feet of fencing. Y Figure 1 A garden. X

Y Figure 1 A garden. X

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