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 \( 1 \, \text{cm} : 17.7 \, \text{km} \). This means that every \( 1 \, \text{cm} \) on the map represents \( 17.7 \, \text{km} \) in real life.

Step 2: Determine the distance on the map

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

Step 3: Calculate the real-life distance

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

Final Answer

\(\boxed{14.16 \, \text{km}}\)

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