Question 462975: The perimeter of a rectangle is 28cm the length of the rectangle is 6cm more than its width. What is the length of the rectangle?
Answer by algebrahouse.com(1659)   (Show Source):
You can put this solution on YOUR website! "The perimeter of a rectangle is 28cm the length of the rectangle is 6cm more than its width. What is the length of the rectangle?"
x = width
x + 6 = length
Perimeter of a rectangle is 2(width) + 2(length)
2x + 2(x + 6) = 28 {perimeter = 2(width) + 2(length)}
2x + 2x + 12 = 28 {used distributive property}
4x + 12 = 28 {combined like terms}
4x = 16 {subtracted 12 from both sides}
x = 4 {divided both sides by 4}
x + 6 = 10 {substituted 4, in for x, into x + 6}
length is 10 cm
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