
4) A map is drawn to scale 1:20000. If the actual distance between 2 cities on the map is
4.4km, find the distance between the two cities on the map giving your answer in cm.


The map scale is 1:20,000, meaning that 1 unit on the map represents 20,000 units in real life.

To find the distance on the map, follow these steps:

1. **Convert the actual distance to centimeters**:
   The actual distance between the two cities is 4.4 km. We need to convert this distance into centimeters:

   \[
   4.4 \, \text{km} = 4.4 \times 1000 \, \text{m} = 4400 \, \text{m}
   \]
   \[
   4400 \, \text{m} = 4400 \times 100 \, \text{cm} = 440,000 \, \text{cm}
   \]

2. **Apply the scale**:
   The scale is 1:20,000, so the distance on the map is:

   \[
   \frac{440,000 \, \text{cm}}{20,000} = 22 \, \text{cm}
   \]

Thus, the distance between the two cities on the map is **22 cm**.

Do you want more details or have any questions?

Here are 5 related questions to expand on this concept:
1. If the scale was 1:10,000, what would the distance on the map be?
2. How would you convert the distance if it was given in miles instead of kilometers?
3. What would the actual distance be if the map distance was 10 cm on this scale?
4. If a new map had a scale of 1:50,000, how would that affect the map distance for 4.4 km?
5. How would the map distance change if the scale was doubled to 1:40,000?

**Tip**: Always ensure that units are consistent when working with scale problems, converting distances into the same units before applying the scale.

A map is drawn to scale 1:20000. If the actual distance between 2 cities on the map is 4.4km, find the distance between the two cities on the map giving your answer in cm.

Solve a scale conversion problem where the actual distance between two cities is 4.4 km, and the map scale is 1:20,000. Learn how to convert kilometers to centimeters and apply the scale formula to find the map distance, suitable for students in Grades 5-7.

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