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}

2x + 3 = length

**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*