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Camilla drew a scale drawing of a house and its lot. In real life, the back patio is $27$ meters long. It is $3$ millimeters long in the drawing. What scale did Camilla use? $\newline$ $1$ millimeter : $\_\_\_$ meters

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Scale drawings: word problems

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Q. Camilla drew a scale drawing of a house and its lot. In real life, the back patio is

27

meters long. It is

3

millimeters long in the drawing. What scale did Camilla use?

\newline

1

millimeter :

\_\_\_

meters

Given lengths: We have: $\newline$ Length of the back patio in real life = $27$ meters $\newline$ Length of the back patio in the drawing = $3$ millimeters $\newline$ To find the scale, we need to set up a ratio of the drawing length to the real-life length. $\newline$ Ratio = (Length of the back patio in drawing) / (Length of the back patio in real life) $\newline$ Ratio = $\frac{3 \, \text{mm}}{27 \, \text{m}}$
Calculate ratio: Now, we need to simplify the ratio. Since we want the scale in terms of $1$ millimeter to meters, we divide both the numerator and the denominator by $3$ . $\newline$ $(3 \, \text{mm} / 27 \, \text{m}) = (1 \, \text{mm} / 9 \, \text{m})$
Simplify ratio: The scale of the drawing is therefore $1$ millimeter to $9$ meters. $\newline$ Scale: $1$ mm : $9$ m

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