Final answer:
The maximum length, l, of the fence in terms of the width, w, is given by the equation l = 250 - 2w.
Step-by-step explanation:
The maximum length, l, of the fence in terms of the width, w, can be found using the equation l + 2w = 250. This is because the length of the fence is the sum of the length of two sides and the width of the fence is one of the sides. By rearranging the equation, we can solve for l and express it in terms of w as l = 250 - 2w.