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Eric drew a scale drawing of the high school. The parking lot, which is $54$ meters wide in real life, is $6$ centimeters wide in the drawing. What is the scale of the drawing? $\newline$ $1$ centimeter : $\_\_\_\_$ meters $\newline$

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Scale drawings: word problems

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Q. Eric drew a scale drawing of the high school. The parking lot, which is

54

meters wide in real life, is

6

centimeters wide in the drawing. What is the scale of the drawing?

\newline

1

centimeter :

\_\_\_\_

meters

\newline

Identify Given Measurements: Identify the given measurements. $\newline$ Width of the parking lot in real life = $54$ meters $\newline$ Width of the parking lot in drawing = $6$ centimeters $\newline$ We need to find the scale in the form of $1$ centimeter : $\_\_\_$ meters.
Set Up Ratio: Set up the ratio of the width of the parking lot in the drawing to the width in real life. $\newline$ Ratio = $\frac{\text{Width of the parking lot in drawing}}{\text{Width of the parking lot in real life}}$ $\newline$ Ratio = $\frac{6 \text{ centimeters}}{54 \text{ meters}}$
Simplify Ratio: Simplify the ratio to find the scale. $\newline$ Divide both the numerator and the denominator by the width of the parking lot in the drawing, which is $6$ centimeters. $\newline$ Ratio = $(6 \text{ centimeters} / 6) / (54 \text{ meters} / 6)$
Perform Division: Perform the division to simplify the ratio. $\newline$ Ratio = $1$ centimeter / $9$ meters $\newline$ This means that $1$ centimeter in the drawing represents $9$ meters in real life.

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