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[-/1 Points] DETAILS MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER / farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. No fencing is needed along the barn, and the fencing along the west side of the plot is shared with a neighbor who will split the cost of that portion of the fence. If the fencing costs $14 per linear foot to install and the farmer is not willing to spend more than $7000, find the dimensions for the plot that would include big most area. [Enter the dimensions as a comma separated list.) Need Help? Read It . [-/4 Points] DETAILS MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Consider the following problem: a farmer with 850 feet of fencing wants to enclose a rectangular area and then divide it Into four pens with fencing parallel to one side of the rectangle. What is the largest porche total arm of the four pens? (a) Draw several diagrams illustrating the situation, some with willow, wide pens and some with deep, narrow pens. Find the tocal areas of these onnliqumalions. Does it appear that there is a maximum area? If so, estimate it. (b) Draw a diagram illustrating the general situation. Let x dennte: the length of each of two rider ,Ind three dividers, Let y denote the larch nil the other two sides. (c) Write an expression for the total area A in terms of hoth x and y. (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 one variable. A(x ) =1 (f) Finish solving the problem by finding the largest area (in ft?). ft 2