Lin7rainem4anflakrob Lin7rainem4anflakrob

08-09-2016
Mathematics

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the area of a rectangle is 52 in². the length of the rectangle is 9 in. longer than the width. what is the width of the rectangle? 8 in. 6 in. 4 in. 3 in.

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Kunchan Kunchan

10-09-2016

length, l = width, w + 9
l = w + 9

area = length * width
52 = l * w
52 = (w+9) w
52 = w^2 + 9w
w^2 + 9w - 52 = 0
w^2 + 13w - 4w - 52 = 0
w (w + 13) - 4 (w + 13) = 0
(w + 13) (w - 4) = 0

length = 13 in
width = 4 in

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