w = width
w + 3 = length ← length is 3 longer than width
Area of a rectangle = length x width
w(w + 3) = 154 ← substituted into area formula
w² + 3w = 154 ← distributive property
w² + 3w  154 = 0 ← subtracted 154 from each side
(w + 13)(w  11) = 0 ← factored into two binomials
w + 13 = 0 or w  11 = 0 ← set each factor equal to zero
w = 13 or w = 11 ← solved each equation for w
w = 11 only ← width cannot be negative
width = 11m
 Proof
