SOLUTION: 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?

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Question 823638: 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?
Answer by algebrahouse.com(1659) About Me  (Show Source):
You can put this solution on YOUR website!
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

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