Homework: 4.5 Optimization Question 1, 4.5.16 > HW Score: 20%, 1 of 5 points Part1 of2 0 Points: 0 of1 Question list 0 Question 1 0 Question 2 0 Question 3 0 Question 4 0 Question 5 I a. A rectangular pen is built with one side against a barn. If 400 m of fencing are used for the other three sides of the pen, what dimensions maximize the area of the pen? b. A rancher plans to make four identical and adjacent rectangular pens against a Barn barn, each with an area of 400 m2 (see gure). What are the dimensions of each pen that minimize the amount of fence that must be used? 400 400 400 400 a. To maximize the area of the pen, the sides perpendicular to the barn should be 400x- 2x2 m long and the side parallel to the barn should be m long. (Type exact answers, using radicals as needed.)