The scale on a map is 1 mm : 4 m. Find the distance on the map for an actual distance of 52 m.

Answer

To find the distance on the map for an actual distance of 52 m using the scale of 1 mm : 4 m, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Scale**: The scale given is 1 mm : 4 m. This means that for every 1 mm on the map, it represents an actual distance of 4 meters.

2. **Identify the Actual Distance**: We are given an actual distance of 52 meters.

3. **Set Up the Proportion**: We need to find out how many millimeters on the map correspond to the actual distance of 52 meters. Since 1 mm represents 4 m, we can set up the following equation:
\[ \text{Distance on the map (in mm)} = \frac{\text{Actual Distance (in m)}}{\text{Scale Factor (in m/mm)}} \]

4. **Calculate the Distance on the Map**:
\[ \text{Distance on the map} = \frac{52 \text{ m}}{4 \text{ m/mm}} = \frac{52}{4} = 13 \text{ mm} \]

5. **Conclusion**: Therefore, the distance on the map that represents an actual distance of 52 meters is 13 mm.

### Summary of the Solution:
- Actual distance = 52 m
- Scale = 1 mm : 4 m
- Distance on the map = \( \frac{52}{4} = 13 \) mm