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**.
Scale Drawing D50007
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