Question 521291
L = x
W = x+1
x(x+1) = 110
x^2 +x = 110
complete the square
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x^2 +x + 1/4 = 110 + 1/4
(x + 1/2)^2 = sqrt(110+1/4)
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(x + 1/2)^2 = (x+1/2)(x+1/2) = x^2 +1/2x + 1/2x + 1/4 = x^2 +x + 1/4
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x + 1/2 = +sqrt(110 1/4) = 10.5
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x = 10
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x+1 = 11
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Answer: The rectangle is 10 by 11 m.
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Done.