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Question
- noreen drew a scale drawing of the local park. the playground, which is 120 meters long in real life, was 60 cm long in the drawing. what is the scale of the drawing?
Step1: Convert units to match
Convert 120 meters to centimeters: $120 \times 100 = 12000$ cm
Step2: Set up drawing-to-real ratio
Ratio: $\frac{\text{Drawing length}}{\text{Real length}} = \frac{60}{12000}$
Step3: Simplify the ratio
Divide numerator and denominator by 60: $\frac{60 \div 60}{12000 \div 60} = \frac{1}{200}$
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The scale of the drawing is $1:200$, meaning 1 centimeter on the drawing represents 200 centimeters (or 2 meters) in real life.