2. Bernadette is fencing in a rectangular enclosure for her pet hedgehog. As shown below, one side of the enclosure will be along the side of the house, so that she only has to fence 3 sides. She has 100 feet of fencing to use. house X X y (a) What are the dimensions that will maximize the enclosed area (b) What is the maximum area she can enclose? (c) What do you think the name of the pet hedgehog should be? (This part is not worth any points, and you don't have to answer, but I am curious what you think would make a good name for a hedgehog.)

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