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Shane drew a scale drawing of a house and its lot. He used the scale $3$ centimeters $= 1$ 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

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Q. Shane drew a scale drawing of a house and its lot. He used the scale

3

centimeters

= 1

meter. What scale factor does the drawing use?

\newline

Simplify your answer and write it as a fraction.

\newline

\_\_\_\_

Identify Scale: Step $1$ : Identify the scale used in the drawing. $\newline$ Shane used the scale $3\,\text{cm} = 1\,\text{m}$ . We need to find the scale factor as a fraction. $\newline$ Scale factor = (length in the drawing) / (corresponding length in reality) $\newline$ Scale factor = $(3\,\text{cm}) / (1\,\text{m})$
Convert Units: Step $2$ : Convert meters to centimeters to have the same units. $\newline$ $1$ meter $= 100$ centimeters. $\newline$ Now, recalculate the scale factor using the same units. $\newline$ Scale factor $= (3 \, \text{cm}) / (100 \, \text{cm})$
Simplify Fraction: Step $3$ : Simplify the fraction to find the scale factor. $\newline$ Scale factor = $\frac{3}{100}$ $\newline$ This is the simplified fraction representing the scale factor of the drawing.

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