The length of a rectangle is three more than twice the width. The perimeter is 78 centimeters. What is the width in centimeters of the rectangle? x = width 2x + 3 = length {the length is 3 more than twice the width} Perimeter of a rectangle is 2(width) + 2(length} 2x + 2(2x + 3) = 78 {substituted given information into perimeter formula} 2x + 4x + 6 = 78 {used distributive property} 6x + 6 = 78 {combined like terms} 6x = 72 {subtracted 6 from each side} x = 12 {divided each side by 6} width = 12 cm - Algebra House
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