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Ariel drew a scale drawing of a swimming pool. She used the scale $7$ 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

Full solution

Q. Ariel drew a scale drawing of a swimming pool. She used the scale

7

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. $\newline$ Scale factor = $\frac{\text{length in the drawing}}{\text{corresponding length in reality}}$ $\newline$ Scale factor = $\frac{7\,\text{cm}}{1\,\text{m}}$
Convert to Centimeters: Step $2$ : Convert $1$ meter to centimeters to match the units. $\newline$ $1$ meter $=$ $100$ centimeters
Calculate Scale Factor: Step $3$ : Calculate the scale factor using the same units. $\newline$ Scale factor = $(7 \, \text{cm}) / (100 \, \text{cm})$ $\newline$ Scale factor = $\frac{7}{100}$

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