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A rectangular hole is to be cut in a wall for a vent. If the perimeter of the hole is 52 in. and the length

A rectangular hole is to be cut in a wall for a vent. If the perimeter of the hole is

52 in. and the length of the diagonal is a minimum, what are the dimensions of the hole?

Let the length and width of the hole be x and y, respectively, and let the length of the diagonal be D. Find an equation that describes the quantity to be minimized.

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