Questions: Find the distance between Rivertown and Smithville if they are 0.8 cm apart on a map with a scale of 1 cm : 17.7 km.

Find the distance between Rivertown and Smithville if they are 0.8 cm apart on a map with a scale of 1 cm : 17.7 km.
Transcript text: Find the distance between Rivertown and Smithville if they are 0.8 cm apart on a map with a scale of 1 cm : 17.7 km . $\square$
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Solution

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Solution Steps

Step 1: Understand the scale of the map

The map scale is given as 1 cm:17.7 km 1 \, \text{cm} : 17.7 \, \text{km} . This means that every 1 cm 1 \, \text{cm} on the map represents 17.7 km 17.7 \, \text{km} in real life.

Step 2: Determine the distance on the map

The distance between Rivertown and Smithville on the map is 0.8 cm 0.8 \, \text{cm} .

Step 3: Calculate the real-life distance

Multiply the map distance by the scale to find the real-life distance: Real-life distance=0.8 cm×17.7 km/cm=14.16 km. \text{Real-life distance} = 0.8 \, \text{cm} \times 17.7 \, \text{km/cm} = 14.16 \, \text{km}.

Final Answer

14.16 km\boxed{14.16 \, \text{km}}

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