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| Math Central | Quandaries & Queries |
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Question from Allie: The length of a rectangular swimming pool is p m and its width is q m. Its given that the length of the swimming pool is twice its with. if the perimeter of the swimming pool is 150 m, find the values of p and q |
Hi Allie,
Sometimes it helps to draw a rough sketch.
In this problem you are told that the length of the pool is $p$ meters and its width is $q$ meters. You are also told that the length is twice the width so
\[p = 2 q.\]
You are also told that the perimeter is 150 meters. What is the perimeter in terms of $p$ and $q?$ This expression is equal to 150 meters so now you have two linear equations in $p$ and $q.$ Solve this pair of equations for $p$ and $q.$
Make sure you verify your answer.
Write back if you need more assistance.
Penny
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