A three-sided fence is to be built next to a straight section of river, which forms the fourth side of a rectangular region, as shown in the diagram below. The enclosed area is to equal 1800 m² 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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Chapter1: Functions And Models
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13.2 (Optimization)

A three-sided fence is to be built next to a straight section of river, which forms the fourth side of a rectangular region, as
shown in the diagram below. The enclosed area is to equal 1800 m² 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.
Transcribed Image Text:A three-sided fence is to be built next to a straight section of river, which forms the fourth side of a rectangular region, as shown in the diagram below. The enclosed area is to equal 1800 m² 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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