For an instance, w represents the width, and (w + 2) represents the length.
Make an equation of area in terms of w area = 120 l × w = 120 (w + 2) × w = 120
use distributive property to simplify w² + 2w = 120
use completing square method to solve for w, add 1 to both side w² + 2w + 1 = 120 + 1 w² + 2w + 1 = 121 (w + 1)² = 121 (w + 1)² = 11² w + 1 = 11 w = 11 - 1 w = 10 The width is 10 units
Find the length l = w + 2 l = 10 + 2 l = 12 The length is 12 units
Let the integers be x and x+2 area of rectangle= length × breadth x × (x+2) = 120 x square + 2x =120 x square + x = 60 x + x = root of 60 x = root of 60 / 2
