Let's solve the given problem step by step:

Given:

• Scale: 1 cm represents 2 m.

Part (a): Find the real width of the building.

1. Measure the width of the drawing using the ruler shown.

   • From the image, the width of the building is approximately 5 cm.

2. Convert to real-life measurement:

   • Using the scale $1 \, \text{cm} = 2 \, \text{m}$, the real width is: $\text{Real Width} = 5 \, \text{cm} \times 2 \, \text{m/cm} = 10 \, \text{m}.$

   Answer: The real width of the building is 10 metres.

Part (b): Find the height of the drawing.

1. Given the real height of the building: $8.2 \, \text{m}$.

2. Convert to drawing height:

   • Using the scale $1 \, \text{cm} = 2 \, \text{m}$, the drawing height is: $\text{Drawing Height} = \frac{8.2 \, \text{m}}{2 \, \text{m/cm}} = 4.1 \, \text{cm}.$

   Answer: The height of the drawing is 4.1 cm.

Final Answers:

(a) The width of the building in real life is 10 metres.
(b) The height of the drawing is 4.1 cm.

Would you like a further breakdown or visualization? Here are related questions to deepen your understanding:

1. What is the ratio of the drawing to the real-life building's size?
2. How would the drawing dimensions change if the scale was $1 \, \text{cm} = 3 \, \text{m}$?
3. If the real building is 20 m wide, what would be its width in the drawing?
4. How can you calculate the area of the real building using the drawing and the scale?
5. What is the importance of scale in architectural drawings?

Tip: Always double-check scale values when working with measurements to avoid errors in real-life projects.