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Problem: 1.  A fourth-grade class decides to enclose a rectangular garden, using the side of the school as one side of the rectangle. What is the maximum area that the class can enclose with 64 ft of fence? What should the dimensions be in order to yield this area? Show work.

Problem 2: Let’s generalize the results of this problem. Repeat your work, but assume you have a constant length of fence L. What is the maximum area that the class can enclose with L feet of fence? What should the dimensions be in order to yield this area? Show work.