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

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