The area of a rectangle is 27 m2 , and the length of the rectangle is 3 m less than double the width. Find the dimensions of the rectangle.

Question

I've been working on this problem and can't seem to find the correct dimensions.  Can someone please help?

Answer 1

Let w = width of rectangle; then the length is 2w - 3.

 

Area = w(2w-3) = 27.  Distribute, put all terms on one side of equatilon (with appropriate signs), and solve, either by factoring or use of quadratic formula.  Check your answers.  (One might be 'extraneous')