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Nancy made a scale drawing of an apartment. The scale she used was $1$ inch $=$ $1$ foot. What is the drawing's scale factor? $\newline$ Simplify your answer and write it as a fraction. $\newline$ \_\_\_\_

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Scale drawings: scale factor word problems

Full solution

Q. Nancy made a scale drawing of an apartment. The scale she used was

1

inch

=

1

foot. What is the drawing's scale factor?

\newline

Simplify your answer and write it as a fraction.

\newline

\_\_\_\_

Identify Scale: 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 = $\frac{1\,\text{inch}}{1\,\text{foot}}$
Convert to Inches: Step $2$ : Convert feet to inches to have consistent units. $\newline$ $1$ foot $= 12$ inches
Calculate Scale Factor: Step $3$ : Calculate the scale factor using the converted unit. $\newline$ Scale factor = $(1 \, \text{inch}) / (12 \, \text{inches})$ $\newline$ Scale factor = $1 / 12$

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