SOLUTION: the length of a rectangle is 5 times the width. the perimeter is 48 inches. find the dimensions.

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Question 431749: the length of a rectangle is 5 times the width. the perimeter is 48 inches. find the dimensions.
Answer by algebrahouse.com(1659) About Me  (Show Source):
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"the length of a rectangle is 5 times the width. the perimeter is 48 inches. find the dimensions."

x = width
5x = length {length is five times the width}

Perimeter of a rectangle = 2(width) + 2(length)

2x + 2(5x) = 48 {perimeter is 2(width) + 2(length)}
2x + 10x = 48 {multiplied through}
12x = 48 {combined like terms}
x = 4 {divided both sides by 12}
5x = 20 {substituted 4, in for x, into 5x}

width = 4 in. and length = 20 in.
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