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Jane drew a scale drawing of a house. The scale she used was $3$ millimeters $= 1$ meter. What scale factor does the drawing use? $\newline$ Simplify your answer and write it as a fraction. $\newline$ $\_\_$

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Scale drawings: scale factor word problems

Full solution

Q. Jane drew a scale drawing of a house. The scale she used was

3

millimeters

= 1

meter. What scale factor does the drawing use?

\newline

Simplify your answer and write it as a fraction.

\newline

\_\_

Identify scale factor: Step $1$ : Identify the scale used in the drawing. $\newline$ Scale factor = $\frac{\text{length in the drawing}}{\text{corresponding length in reality}}$ $\newline$ Scale factor = $\frac{3\,\text{mm}}{1\,\text{m}}$
Convert to millimeters: Step $2$ : Convert $1$ meter to millimeters to have consistent units. $\newline$ $1$ meter $=$ $1000$ millimeters
Calculate scale factor: Step $3$ : Calculate the scale factor using the same units. $\newline$ Scale factor = $(3 \, \text{mm}) / (1000 \, \text{mm})$ $\newline$ Scale factor = $\frac{3}{1000}$

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