SOLUTION: The Browns installed 96 feet of fencing around a rectangular play yard. If the yard covers 540 square feet, what are its dimensions?

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Question 1024817: The Browns installed 96 feet of fencing around a rectangular play yard. If the yard covers 540 square feet, what are its dimensions?

Answer by ikleyn(52807) About Me  (Show Source):
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The Browns installed 96 feet of fencing around a rectangular play yard. If the yard covers 540 square feet, what are its dimensions?
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L + W = 96%2F2 = 48.
L*W = 540,

where L is the length and W is the width.

---> L = 48-W.

Substitute it into the second equation for L. You will get a single equation for W:

(48-W)*W = 540.

Simplify and solve this quadratic equation by any method.

Answer. L = 30 ft, W = 18 ft.