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Erik made a scale drawing of a community college. He used the scale $7\,\text{millimeters} = 1\,\text{meter}$ . 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

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Q. Erik made a scale drawing of a community college. He used the scale

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

. What scale factor does the drawing use?

\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. $\text{Scale factor} = \frac{\text{length in the drawing}}{\text{corresponding length in reality}}$ $\text{Scale factor} = \frac{7\,\text{mm}}{1\,\text{m}}$
Convert to Millimeters: Step $2$ : Convert $1$ meter to corresponding millimeters. $\newline$ To convert meters to millimeters, multiply the length value by $1000$ . $\newline$ $1$ meter = $1000$ millimeters
Calculate Scale Factor: Step $3$ : Calculate the scale factor using the converted length. $\newline$ Scale factor = $(7 \, \text{mm}) / (1000 \, \text{mm})$ $\newline$ Scale factor = $\frac{7}{1000}$

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