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Mr. Thompson drew a rectangle on the chalkboard with a length to width ratio of 55 to 22. He asked students to draw a rectangle with the same ratio of length to width in their journals. Audrey plans to draw a rectangle with a width of 66 centimeters.\newlineWhat length should Audrey's rectangle have?\newline____ centimeters

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Q. Mr. Thompson drew a rectangle on the chalkboard with a length to width ratio of 55 to 22. He asked students to draw a rectangle with the same ratio of length to width in their journals. Audrey plans to draw a rectangle with a width of 66 centimeters.\newlineWhat length should Audrey's rectangle have?\newline____ centimeters
  1. Identify Ratio and Width: Identify the given ratio and the width of Audrey's rectangle.\newlineGiven ratio of length to width = 5:25:2, Width = 6cm6\,\text{cm}.
  2. Calculate Length: Calculate the length using the ratio. Length=(52)×Width=(52)×6=15Length = \left(\frac{5}{2}\right) \times Width = \left(\frac{5}{2}\right) \times 6 = 15 cm.
  3. Check Ratio Match: Check if the calculated length maintains the given ratio.\newlineLength to width = 156=2.5\frac{15}{6} = 2.5, which simplifies to 52\frac{5}{2}. This matches the given ratio of 5:25:2.

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