# Arectangular bird sanctuary is being created with one side along a straight riverbank. The remaining three sides are to be enclosed with a protective fence. If there are 12 km of fence available, find the dimension of the rectangle to maximize the area of the sanctuary.

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Arectangular bird sanctuary is being created with one side along a straight riverbank. The remaining three sides are to
be enclosed with a protective fence. If there are 12 km of fence available, find the dimension of the rectangle to maximize
the area of the sanctuary.

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Step 1 Let x be the length of the side that is parallel to riverbank.

let y be the length of the other two sides.

Hence, total length that has to be covered by the fence = x + 2y

Length of fence available = 12 Km

Hence, x + 2y = 12

y = (12-x)/2

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