The perimeter of a rectangle is 74 inches. Find the dimensions if the length is 7 inches greater than twice the width. x = width 2x + 7 = length {the length is 7 greater than the twice the width} Perimeter of a rectangle is 2(width) + 2(length) 2x + 2(2x + 7) = 74 {perimeter is 2(width) + 2(length)} 2x + 4x + 14 = 74 {used distributive property} 6x + 14 = 74 {combined like terms} 6x = 60 {subtracted 14 from each side} x = 10 {divided each side by 6} 2x + 7 = 27 {substituted 10, in for x, into 2x + 7} width is 10 inches length is 27 inches  Algebra House
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