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Question
hansen measured a city park and made a scale drawing. the scale he used was 7 centimeters : 4 meters. in the drawing, the soccer field is 119 centimeters wide. what is the width of the actual field? meters
Step1: Set up the scale - ratio equation
Let the actual width be $x$ meters. The scale is based on the ratio of drawing length to actual length. We know that 7 centimeters in the drawing represents 4 meters in actual. The width in the drawing is 119 centimeters. The ratio is $\frac{7}{4}=\frac{119}{x}$.
Step2: Cross - multiply
Cross - multiplying the ratio equation $7x = 119\times4$.
Step3: Solve for $x$
First, calculate $119\times4 = 476$. Then, $x=\frac{476}{7}=68$.
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