The area of a rectangle is 27 m^2 , and the length of the rectangle is 3 m less than twice the width. find the dimensions of the rectangle.
length:
width:

Let  be the length of the rectangle and be the width. In the problem it is given that . It is also given that the area . Substituting in the length in terms of width, we have . Using the zero product property, . Solving these we get the width . However, it doesn't make sense for the width to be negative, so the width must be . From that we can tell the length . 

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