a. A rectangular pen is built with one side against a barn. If \"00 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 barnI each with an area of 25 m2 {see gure}. What are the dimensions of each pen that minimize the amount of fence that must be used? a. LetA be the area of the rectangular pen and let x be the length of the sides perpendicular to the barn. Write the objective function in a form that does not include the length of the side parallel to the barn. A = 170px 212 {Type an expression.) The interval of interestofthe objective function is {0.3612501 . {Simplify your answer. Type your answer in interval notation. Do not use commas in the individual endpoints.) I Sorry, that's not correct. X Consider the amount offending available when determining the interval of interest. a. A rectangular pen is built with one side against a barn. If 1700 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 Bam barn, each with an area of 25 m" (see figure). What are the dimensions of each pen that minimize the amount of fence that must be used? 25 25 25 25 a. Let A be the area of the rectangular pen and let x be the length of the sides perpendicular to the barn. Write the objective function in a form that does not include the length of the side parallel to the barn. A= (Type an expression.) The interval of interest of the objective function is (Simplify your answer. Type your answer in interval notation. Do not use commas in the individual endpoints.) 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. Let x be the length of the sides perpendicular to the barn and let L be the total length of fence needed. Write the objective function. L = (Type an expression.) The interval of interest of the objective function is (Simplify your answer. Type your answer in interval notation. Do not use commas in the individual endpoints.) 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.) Please answer each one. Thanks for your help