Awoman wants to build a rectangular garden. she plans to use a side of a shed for one side of the garden. she has 84 yd of fencing material.
what is the maximum area that will be enclosed?
enter your answer in the box.
²

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

How many groups are there?