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Sophie drew a scale drawing of a house and its lot. The back patio is $3$ centimeters wide in the drawing. The actual patio is $18$ meters wide. What scale did Sophie use for the drawing? $\newline$ 1 centimeter : ________ meters

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Scale drawings: word problems

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Q. Sophie drew a scale drawing of a house and its lot. The back patio is

3

centimeters wide in the drawing. The actual patio is

18

meters wide. What scale did Sophie use for the drawing?

\newline

1 centimeter : ________ meters

Identify Widths: Step $1$ : Identify the widths in the drawing and in real life. $\newline$ Width of the patio in the drawing = $3\,\text{cm}$ $\newline$ Width of the actual patio = $18\,\text{meters}$ $\newline$ Calculate the ratio of the drawing width to the real-life width. $\newline$ Ratio = Width of the patio in the drawing / Width of the actual patio $\newline$ Ratio = $3\,\text{cm} / 18\,\text{m}$
Calculate Ratio: Step $2$ : Simplify the ratio to find the scale. $\newline$ Divide both the numerator and the denominator by $3$ , the greatest common factor of $3$ and $18$ . $\newline$ $\frac{3}{18} = \frac{1}{6}$ $\newline$ This means $1$ cm in the drawing represents $6$ meters in real life.

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