SOLUTION: If an olympic swiiming pool is twice as long as it is wide and the perimiter is 150 meters, then what are the length and the width? How do you do this problem without the l or w?

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Question 26769: If an olympic swiiming pool is twice as long as it is wide and the perimiter is 150 meters, then what are the length and the width? How do you do this problem without the l or w?
Answer by bmauger(101) About Me  (Show Source):
You can put this solution on YOUR website!
You don't have any information explicity giving you l or w, but you can create a system of equations. Use the definition of the perimeter to give you one equation:
l+%2B+w+%2B+l+%2B+w+=+150 or:
2l+%2B+2w+=+150
The other equation requires you to use the ratio of length & width the problem gives you, that is that it is twice as long as it is wide or in math:
2l+=+w
Substituting for w in the first equation with 2l from the second equation will allow you to solve it.