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Describing the Relationship Between the Length and Width of a Swimming Pool

Describing the Relationship Between the Length and Width of a Swimming Pool. Problem Layout. The length of a swimming pool is three times its width. Write an expression for he length in terms of the width Pool. Problem Layout.

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Describing the Relationship Between the Length and Width of a Swimming Pool

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  1. Describing the Relationship Between the Length and Width of a Swimming Pool

  2. Problem Layout • The length of a swimming pool is three times its width. Write an expression for he length in terms of the width Pool

  3. Problem Layout • We use letters, known as variables, to represent these quantities • We accomplish this by using “Let” statements • Let L represent the length of the pool • Let W represent the width of the pool • - L = Length W = Width

  4. Explanation • Now for the Math! • How are the length and width of the pool related? Let’s find out.

  5. Explanation • We are told that the length of the pool is three times its width. • We need to write this mathematically. • Our next step is to translate the phrase describing the relationship between the length and the width into a mathematical phrase, also known as an expression

  6. Explanation • The key idea in the problem is that the length is three times the width. We can translate each component mathematically as follows: • The length -> L • Is -> = • Three times -> 3 X • The width -> W

  7. Explanation • So now when we put together this puzzle, we get • L = 3 X W, which can also be written as • L = 3W • We’re Done!

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