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The perimeter of a rectangle is 20 feet. Of all possible dimensions, the maximum area is square feet when its length and width are

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The perimeter of a rectangle is 20 feet. Of all possible dimensions, the maximum area is square feet when its length and width are both 5 feet. Are there dimensions that yield a minimum area? Yes, the length would be 3 ft and width 7 ft. Yes, the length would be 1 ft and width 9 ft. Yes, the length would be 4 ft and width 6 ft. No, there are no dimensions that would produce an absolute minimum area.

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