A farmer wants to enclose a rectangular area with fencing an…
A farmer wants to enclose a rectangular area with fencing and then divide it into three pens with fencing parallel to one side of the rectangle as shown (picture not drawn to scale). The farmer has feet of fencing. The goal of this problem is to find the dimensions that will result in the largest possible total area enclosed by the pen. If is the length of the pen, and is the width of the pen, with the interior fences parallel to the width side, which of the following functions represents the area of this pen as a function of ?