Subjects geometry

Scale Distance 722D45

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1. **State the problem:** We have a scale of 1 : 1000, meaning 1 unit on the drawing represents 1000 units in reality. 2. **Given:** Actual distance between two villages is 2.4 km. We want to find the distance on the drawing in cm. 3. **Convert actual distance to cm:** Since 1 km = 100000 cm, then $$2.4 \text{ km} = 2.4 \times 100000 = 240000 \text{ cm}$$ 4. **Use the scale formula:** $$\text{Drawing distance} = \frac{\text{Actual distance}}{\text{Scale factor}}$$ 5. **Calculate drawing distance:** $$\text{Drawing distance} = \frac{240000}{1000} = 240 \text{ cm}$$ 6. **Answer:** The villages are 240 cm apart on the drawing.