The area of a rectangle is 189. The width is 2 meter longer than 1/3 the length. find the length and the width

2 answers

width=x, length=y
x = y/3 + 2

xy = 189
(y/3 + 2)y = 189
y^2/3 + 2y - 189 = 0
y^2 + 6y - 567 = 0
(y-21)(y+27)

no negative sides, so y=21 and x=9. xy=189
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