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Perimeter and width

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The perimeter of a rectangular garden is338 feet. If the width of the garden is74 feet, what is its length?

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This provides ane xample of finding length given perimeter and width.

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A=(LP)/2-L^2, gives the area of a rectangle of perimeter P and length L.

A=(LP)/2-L^2, gives the area of a rectangle of perimeter P and length L. 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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