First of all, what is the equation for the perimeter of a rectangle? 2(l + w) = p Since we know the perimeter (p) is greater than 62 we can say: 2(l + w) > 62 It is also given that the length is 7 mm longer than the width, so we know the value of the length in terms of w (the width). w = w l = w + 7 Substitute l with (w + 7) into the equation: 2[(w + 7) + w] > 62 Now combine like terms in the parentheses 2(2w + 7) >62 Distribute the 2 into the terms in the parentheses 4w + 14 > 62 Subtract both sides by 14 4w > 62 - 14 Combine like terms 4w > 48 Divide both sides by 4 w > 48
