v a) 2333 3.752 12:1: has two critical points (points where the derivative is zero). Find them and determine whether they are local maxima or minima. [3] Now let's consider a fence around garden. A man wants to construct a rectangular garden adjacent to his house. One side of the garden will be along his house, and he will need to construct fences along the other three sides to enclose his garden. He has 100m of fencing. Let's determine what dimensions he should pick for the sides of his garden in order to maximize the area of his garden. Figure 2 b) If two of the sides of his fence are length as, what is the length of the third side? [1] c) Using your answer from b) write an equation for the area of the garden in terms of as. [1] (1) By differentiating your answer to 0), nd the value of a: which maximizes the area of the garden. What are the lengths of the three fences? [3] [8 total]