A rancher with 800 ft of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the...

A rancher with 800 ft of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle (see the figure).(a) Find a function that models the total area of the four pens. (Use w to represent the width of the field, and write the function A in terms of w.) (b) Find the largest possible total area of the four pens. square feet