Subjects geometry

Scale Drawing D50007

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1. **State the problem:** We have a scale drawing where 1 cm represents 2 m in real life. 2. **Given:** - Width of the building in the drawing: approximately 7.7 cm - Real height of the building: 6.8 m 3. **Find:** (a) The width of the building in real life (in metres). (b) The height of the drawing of the building (in centimetres). 4. **Formula and rules:** - To convert from drawing length to real length: $$\text{Real length} = \text{Drawing length} \times \text{Scale factor}$$ - To convert from real length to drawing length: $$\text{Drawing length} = \frac{\text{Real length}}{\text{Scale factor}}$$ - Here, scale factor = 2 m per 1 cm. 5. **Solution for (a): Width in real life** $$\text{Width}_{real} = 7.7\,cm \times 2\,m/cm = 15.4\,m$$ 6. **Solution for (b): Height in drawing** $$\text{Height}_{drawing} = \frac{6.8\,m}{2\,m/cm} = 3.4\,cm$$ **Final answers:** - Width of the building in real life is **15.4 metres**. - Height of the drawing of the building is **3.4 centimetres**.