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onsider the following problem: A farmer with 750 ft of fencing wants to enclose a rectangular area and then divide it ini )ur pens with

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onsider the following problem: A farmer with 750 ft of fencing wants to enclose a rectangular area and then divide it ini )ur pens with fencing paraIEeI 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? If so, estimate i (b) Draw a diagram illustrating the general situation. Let x denote the length of each of two sides and three dividers. Let y denote the length of the other two sides. (c) Write an expression for the total area A in terms of both x and y. A: 50(250) (d) Use the given information to write an equation that relates the variables. S

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