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Mike drew a scale drawing of an Italian restaurant. He used the scale $3$ millimeters $= 1$ 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

Full solution

Q. Mike drew a scale drawing of an Italian restaurant. He used the scale

3

millimeters

= 1

meter. What is the scale factor of the drawing?

\newline

Simplify your answer and write it as a fraction.

\newline

\_\_

Identify Scale Given: Step $1$ : Identify the scale given in the problem. $\newline$ Scale given: $3$ millimeters = $1$ meter. $\newline$ We need to find the scale factor as a fraction. $\newline$ Scale factor = (length in the drawing) / (corresponding length in reality) $\newline$ Scale factor = $(3 \, \text{mm}) / (1 \, \text{m})$
Convert to Same Units: Step $2$ : Convert meters to millimeters to have the same units. $\newline$ $1$ meter $= 1000$ millimeters. $\newline$ Now, recalculate the scale factor using the same units. $\newline$ Scale factor $= (3 \, \text{mm}) / (1000 \, \text{mm})$

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