Consider the following problem: a farmer with 650 ft of fencing wants to enclose a rectangular area and then divide it into 4 pens with fencing parallel to one side of the rectangle. what is the largest possible total area of the four pens?
(a) draw several diagrams illustrating the situation, some with shallow, wide pens and some with deep, narrow pens. find the total areas of these configurations. does it appear that there is a maximum area, a? if so, estimate it. (round your answer to the nearest thousand.)
(c) write an expression for the total area.
a = ft2
(d) use the given information to write an equation that relates the variables.
(e) use part (d) to write the total area as a function of x.
(f) finish solving the problem and compare the answer with your estimate in part (a). (round your answer to the nearest integer.)