5 points Extra Credit: A farmer has 2400 feet of fencing and wants to use it fence off a rectangular field. (a) Draw a picture of a rectangular field that has a width of 300 feet. Fill in the remaining dimensions and the area. Now draw a rectangular field that has a width of x feet. Fill in the remaining dimensions and the area. (b) From part (a) you now have a function for the area of the rectangle, given the dimension of the width. Call this function A(x). Find the width which will maximize A and prove that the value is a local maximum