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The area of a rectangle is 50 yd2 , and the length of the rectangle is 5 yd less than three times the width. Find the dimensions of the rectangle.
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Feb 11, 2017
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The area of a rectangle is
50 yd2
, and the length of the rectangle is
5 yd
less than three times the width. Find the dimensions of the rectangle.
Mathematics
high-school
Shevone
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Area = length x width
length = 3 x width - 5
i.e. 50 = w(3w - 5)
3w^2 - 5w - 50 = 0
(3w + 10)(w - 5) = 0
w = -10/3 or w = 5
but width cannot be negative, hence
width = 5 yd
Length = 3 x 5 - 5 = 15 - 5 = 10 yd
Richard Connamacher
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Feb 17, 2017
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Richard Connamacher
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