A MAP HAS A SCALE OF 3 CM TO 18 KM. IF RIVERDALE AND AMITHVILLE ARE 54 KM APART. HOW FAR APART ARE THEY ON THE MAP?

To find out how far apart Riverdale and Amithville are on the map, we can use the scale provided.

The scale is given as 3 cm on the map representing 18 km in real life. We can set up a proportion to find the distance on the map:

\[
\frac{3 \, \text{cm}}{18 \, \text{km}} = \frac{x \, \text{cm}}{54 \, \text{km}}
\]

Now, solve for \( x \):

\[
x = \frac{3 \, \text{cm} \times 54 \, \text{km}}{18 \, \text{km}}
\]

\[
x = \frac{162 \, \text{cm} \cdot \text{km}}{18 \, \text{km}} 
\]

\[
x = 9 \, \text{cm}
\]

So, Riverdale and Amithville are 9 cm apart on the map.

Would you like more details, or do you have any other questions?

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Here are five related questions to further your understanding:

1. If the scale were 2 cm to 12 km, how far apart would the towns be on the map?
2. How far apart in real life would two points be if they are 6 cm apart on this map?
3. If the distance between two points on the map is 12 cm, what is the real-life distance?
4. How would the distance change on the map if the scale was doubled?
5. What would be the map distance if the real distance was 36 km with the given scale?

**Tip:** When solving map scale problems, setting up a proportion is a reliable method to find the required distance.

Learn how to calculate map distances using a scale of 3 cm to 18 km. Use proportions to find distances on the map. In this example, discover how far apart Riverdale and Amithville are on the map with a detailed step-by-step solution.

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