SOLUTION: The length of a rectangle is 4 m less than three times the width, and the area of the rectangle is 55 m2 . Find the dimensions of the rectangle.

Algebra ->  Rectangles -> SOLUTION: The length of a rectangle is 4 m less than three times the width, and the area of the rectangle is 55 m2 . Find the dimensions of the rectangle.      Log On

 

Hi,

     .

A = Lw

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

3w^2 - 4w - 55 = 0  (tossing out negative solution for unit measure)

(3w + 11)(w-5)= 0

w = 5m  and L = 11m 

And...Checking

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