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