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Answer:
Let l = length of rug and w = width of rug.
l = w + 4
w(w + 4) = 45
w² + 4w - 45 = 0
(w + 9)(w - 5) = 0
w = 5 (w = -9 is extraneous)
l = w + 4 = 9
The length of the rug is 9 feet, and the width of the rug is 5 feet.
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