Area of a rectanguar field with given fence length
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Suppose that you have 600 feet of fencing which you plan to use to fence in a rectangular area of land. Choose any two lengths for a rectangle and find the corresponding area for each using the given equation. Include units and show all calculations. Which of the two lengths that you chose gives a larger area? What is the corresponding width of each of the two rectangles?
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Solution Summary
(1) Let L = 200 ft. Then W = ...
Area of the field = ...
(2) Let L = 175 ft. Then W = ...
Area of the field = ...
Solution Preview
Length of fencing = Perimeter of the rectangular field = 2(L + W) = 600
L + W = 300
(1) Let L = 200 ft. ...
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