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Johnny measured a city park and made a scale drawing. The soccer field is $6$ millimeters wide in the drawing. The actual field is $60$ meters wide. What scale did Johnny use for the drawing? $\newline$ $1$ millimeter : $\_\_\_$ meters

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Scale drawings: word problems

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Q. Johnny measured a city park and made a scale drawing. The soccer field is

6

millimeters wide in the drawing. The actual field is

60

meters wide. What scale did Johnny use for the drawing?

\newline

1

millimeter :

\_\_\_

meters

Identify Widths: Step $1$ : Identify the widths in the drawing and in real life. $\newline$ Width of the soccer field in the drawing = $6$ millimeters. $\newline$ Width of the actual soccer field = $60$ meters. $\newline$ Set up the ratio of the drawing width to the actual width. $\newline$ Ratio = (Width of the field in the drawing) / (Width of the field in real life). $\newline$ Ratio = $(6 \, \text{mm}) / (60 \, \text{m})$
Simplify Ratio: Step $2$ : Simplify the ratio $6 / 60$ . $\newline$ Divide $6$ and $60$ by their GCF, which is $6$ . $\newline$ $6 / 60 = 1 / 10$
Determine Scale: Step $3$ : Determine the scale of the drawing. $\newline$ Scale of drawing: $(1 \, \text{mm}) / (10 \, \text{m})$ . $\newline$ This means $1$ millimeter in the drawing represents $10$ meters in real life. $\newline$ $1$ millimeter : $10$ meters

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