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A three-sided fence is to be built next to a straight section of the Aterno-Pescara...

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Calculus

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A three-sided fence is to be built next to a straight section of the Aterno-Pescara river, which forms the fourth side of a rectangular region, as shown in the diagram. The enclosed area is to equal 1800 m and the fence running parallel to the river must be set back at least 20 m from the river. Determine the minimum perimeter of such an enclosure and the dimensions of the corresponding enclosure.

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