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Belle drew a scale drawing of a city park. The scale of the drawing was $9\,\text{millimeters} = 1\,\text{meter}$ . What is the scale factor of the drawing? $\newline$ Simplify your answer and write it as a fraction. $\newline$ \_\_\_\_\_

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Scale drawings: scale factor word problems

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Q. Belle drew a scale drawing of a city park. The scale of the drawing was

9\,\text{millimeters} = 1\,\text{meter}

. What is the scale factor of the drawing?

\newline

Simplify your answer and write it as a fraction.

\newline

\_\_\_\_\_

Identify Scale Fraction: Step $1$ : Identify the scale of the drawing as a fraction. Scale factor = $\frac{\text{length in the drawing}}{\text{corresponding length in reality}}$ Scale factor = $\frac{9\,\text{mm}}{1\,\text{m}}$
Convert Meters to Millimeters: Step $2$ : Convert $1$ meter to millimeters because the drawing's scale is in millimeters. $\newline$ $1$ meter = $1000$ millimeters.
Calculate Scale Factor: Step $3$ : Calculate the scale factor using the conversion from Step $2$ . $\newline$ Scale factor = $(9 \, \text{mm}) / (1000 \, \text{mm})$ $\newline$ Scale factor = $\frac{9}{1000}$

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