The problem involves determining the map distance between two villages that are 14 km apart in real life, using a map scale of 1:20000.

Step-by-Step Solution:

1. Understanding the scale:
   The scale 1:20000 means that 1 unit on the map represents 20000 units in real life. If we work in kilometers:

   • 1 cm on the map = 20000 cm in real life.
   • Since there are 100,000 cm in 1 km, 1 cm on the map represents 20000/100000 = 0.2 km in real life.

2. Calculating the map distance:
   To find out how far apart the villages are on the map, divide the real-life distance by the scale factor:

   $\text{Map distance} = \frac{\text{Real distance}}{\text{Scale factor}} = \frac{14 \, \text{km}}{20000} = 0.0007 \, \text{km}$

3. Converting to centimeters:
   Since maps are typically measured in centimeters: $0.0007 \, \text{km} = 0.0007 \times 100000 = 70 \, \text{cm}$

4. Rounding:
   The distance is 70 cm, which is already to one decimal place.

Final Answer:

The villages would be 70.0 cm apart on the map.

Would you like more details or have any questions?

Here are 5 related questions:

1. How would the distance change if the scale were 1:50000?
2. How do you convert between different map scales?
3. What if the real distance between villages were given in meters instead of kilometers?
4. How can you calculate the area reduction when using different scales on maps?
5. How do map scales differ when using different units like inches or miles?

Tip: Always ensure that the units you are using (e.g., kilometers, meters) match the scale when calculating distances on maps.