SOLUTION: The perimeter of a rectangle is 36 cm. If the length is doubled, the perimeter is 60 cm. Find the original length and width.

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Question 1138603: The perimeter of a rectangle is 36 cm. If the length is doubled, the perimeter is 60 cm. Find the original length and width.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!

w%2BL=36%2F2
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w%2B2L=60%2F2
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system%28w%2BL=18%2Cw%2B2L=30%29

L=30-18

highlight%28L=12%29

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HOW?
Assign variables; choosing w for width and L for length.
Dimension sum shortcut related to perimeter: w%2BL=%281%2F2%29p, if p is perimeter.
Follow the description and write the equations.
Solve for the variables - I chose Elimination Method because it seemed very convenient.

You can finish and solve for w.