The length of the rectangle is 3m less than twice the width, and the area of the rectangle is 14m^2. Find the dimensions of the rectangle.

Length:

Width:

Width=x m

length=2x-3

Area=14m^2

L*b=14

(2x-3) * x=14

2x^2-3x-14=0

2x^2 - (7-4) x-14=0

2x^2-7x+4x-14=0

x (2x-7) + 2 (2x-7) = 0

(2x-7) (x+2) = 0

x=7/2 and x=-2does not exist because side cannot be negative

so x=7/2

Width=7/2m

Length=7/2*2-3=4m