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Isabelle measured a swimming pool and made a scale drawing. The scale she used was $7\,\text{millimeters} = 1\,\text{meter}$ . 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

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Q. Isabelle measured a swimming pool and made a scale drawing. The scale she used was

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

. 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 given in the problem. $\newline$ Isabelle used a scale of $7$ millimeters $=$ $1$ meter for her drawing. $\newline$ We need to find the scale factor as a fraction. $\newline$ Scale factor $=$ (length in the drawing) / (corresponding length in reality) $\newline$ Scale factor $=$ ( $7$ mm) / ( $1$ m)
Convert Units: Step $2$ : Convert meters to millimeters to have consistent units. $\newline$ $1$ meter $= 1000$ millimeters. $\newline$ Now, recalculate the scale factor using the same units. $\newline$ Scale factor $= (7 \, \text{mm}) / (1000 \, \text{mm})$
Simplify Fraction: Step $3$ : Simplify the fraction to find the scale factor. Scale factor = $\frac{7}{1000}$ This is the simplest form of the fraction.

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