The length of a rectangle is 2 centimeters less than its width. What are the dimensions of the rectangle if its area is 99 square​ centimeters?

Question

I want to be able to know, whats the question asking me.

Answer 1

l = w - 2

A = lw = 99

substitute:

(w - 2)w = 99

w^2 - 2w - 99 = 0

This is visibly factorable:

(w - 11)(w + 9) = 0

w = 11, w = -9 (ignore this root as it makes no sense in the context of width)

l = 9