4. [0/1 Points] DETAILS PREVIOUS ANSWERS SCALC9 3.7.013.EP. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A farmer wants to fence an area of 37.5 million square feet in a rectangular field and then divide it in half with a fence parallel to one of the sides of the rectangle. Let y represent the length (in feet) of a side perpendicular to the dividing fence, and let x represent the length (in feet) of a side parallel to the dividing fence. Let F represent the length of fencing in feet. Write an equation that represents F in terms of the variable x. F(x) = V 3-37.5-105) x Find the derivative F'(x). F' ( X ) = Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) X= What should the lengths of the sides of the rectangular field be (in ft) in order to minimize the cost of the fence? smaller value ft larger value Ift Enhanced Feedback Please try again, keeping in mind that the area of a rectangle with edges x and y is A = xy and the perimeter is P = 2x + 2y. Also, consider the extra edge dividing the area in half. The length of the fence is the perimeter plus the extra edge. Find a relationship between x and y, using the fact that the area is a constant. Rewrite the amount of fencing as a function of one variable. Use calculus to find the edges of the rectangle that minimize the amount of fencing. Need Help? Read It