Could I have help with these two problems one is linear approximation and the other is a word probkem

r us i Use linear approximation to estimate the following quantity. Choose a value of a to produce a small error. 4% . 1/53 m D (Round to three decimal places as needed.) a. A rectangular pen is built with one side against a barn. If 1400 m of fencing are used for the other three sides of the pen, what dimensions maximize the area of the pen? K b. A rancher plans to make four identical and adjacent rectangular pens against a barn, each with an area of 100 m (see figure). What are the Barn dimensions of each pen that minimize the amount of fence that must be used? 100 100 100 100 . . . a. To maximize the area of the pen, the sides perpendicular to the barn should be m long and the side parallel to the barn should be m long (Type exact answers, using radicals as needed.) b. To minimize the amount of fence that must be used, each of the sides perpendicular to the barn should be m long and each of the sides parallel to the barn should be m long (Type exact answers, using radicals as needed )