SOLUTION: The area of a rectangle is 55m^2, and the length of the rectangle is 4 m less than three times the width. Find the dimensions of the rectangle.

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Question 864727: The area of a rectangle is 55m^2, and the length of the rectangle is 4 m less than three times the width. Find the dimensions of the rectangle.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,



A = Lw = (3w-4)w = 55m^2

          3w^2 - 4w -55 = 0

         (3x + 11)(x-5) = 0   (Tossing out the negative solution for unit measure)

                   x = 5m  and L = 11m   3%2A5-4

and..checking

 (5m)(11m) = 55m^2