x(2x-3)=44

Question

 

The length of a rectangle is 3 m less than twice the width, and the area of the rectangle is 44m^2? Length: Width:?

 

Answer 1

Let width of the rectangle is x.

Length of the rectangle is 2x-3.

Find the area of the rectangle.

A=44

x(2x-3) =44

2x^2-3x-44=0

2x^2+8x-11x-44=0

2x(x+4)-11(x+4)=0

(x+4)(2x-11) =0

2x-11=0

x =(11/2) m