The length of a rectangle is three centimeters less than the width. If the area of the rectangle is 54cm^2 , find the dimensions of the rectangle

Answer 1

width ---- x cm
then length = x-3 xm

x(x-3) = 54
x^2 - 3x - 54 = 0
(x-9)(x+6) = 0
x = 9 or x = -6, but the width couldn't be negative.

the rectangle is 9 cm by 6 cm

or, simply think this:
what 2 numbers multiply to get 54 and have a difference of 3 ??