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Let x denote the length of the side of the garden which is covered fenced by a shed, and 
be the width of the garden.
The perimeter of a rectangle is given by 2(length + width)
i.e.
which gives:
For the area to be maximum, the differentiation of A with respect to x must be equal to 0.
i.e.
Therefore, the maximum area of the garden enclosed is given by
The perimeter of a rectangle is given by 2(length + width)
i.e.
which gives:
For the area to be maximum, the differentiation of A with respect to x must be equal to 0.
i.e.
Therefore, the maximum area of the garden enclosed is given by