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Helen made a scale drawing of an office building. A desk, which is 6 feet long in real life, is 2 inches long in the drawing. What scale did Helen use for the drawing?

Helen made a scale drawing of an office building. A desk, which is 66 feet long in real life, is 22 inches long in the drawing. What scale did Helen use for the drawing?

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Q. Helen made a scale drawing of an office building. A desk, which is 66 feet long in real life, is 22 inches long in the drawing. What scale did Helen use for the drawing?
  1. Identify Lengths: Identify the real-life length of the desk and the length of the desk in the drawing.\newlineReal-life length of the desk: 66 feet\newlineLength of the desk in the drawing: 22 inches
  2. Convert to Inches: Convert the real-life length of the desk into inches because the drawing length is given in inches. There are 1212 inches in a foot.\newline6 feet×12 inches/foot=72 inches6 \text{ feet} \times 12 \text{ inches/foot} = 72 \text{ inches}
  3. Calculate Scale: Calculate the scale by comparing the drawing length to the real-life length in inches.\newlineScale = Drawing lengthReal-life length\frac{\text{Drawing length}}{\text{Real-life length}}\newlineScale = 2 inches72 inches\frac{2\,\text{inches}}{72\,\text{inches}}
  4. Simplify Scale: Simplify the scale to find the ratio in its simplest form. Scale = 1 inch36 inches\frac{1\,\text{inch}}{36\,\text{inches}}
  5. Express as Ratio: Express the scale as a ratio using the format ＂11 inch in the drawing represents XX inches in real life.＂\newlineScale = 1:361:36

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