Let's analyze and solve the questions from the image.

Given Information:

• The scale is 1 cm = 2 m.

a) What is the width, in metres, of the building in real life?

From the image, the width of the building is measured to be 9 cm on the scale drawing.

Using the given scale: $\text{Real width} = 9 \, \text{cm} \times 2 \, \text{m/cm} = 18 \, \text{m}$ So, the width of the building in real life is 18 metres.

b) The real building is 6.8 m tall. What is the height of the drawing of the building, in centimetres?

Since the real height is 6.8 m, we can find the height on the scale drawing using the scale: $\text{Height in drawing} = \frac{6.8 \, \text{m}}{2 \, \text{m/cm}} = 3.4 \, \text{cm}$ So, the height of the building in the drawing is 3.4 cm.

Let me know if you need any further details or clarifications. Here are some related questions to expand your understanding:

1. If the scale was changed to 1 cm = 3 m, what would be the width of the building in real life?
2. If the real height of a building was 10 m, what would the drawing height be on the same scale?
3. How would you convert from a scale drawing's dimensions to real-life dimensions if the scale factor is unknown?
4. If the width of the drawing was 12 cm, how would the real-life width change under the same scale?
5. How does changing the scale factor affect the measurements in the drawing?

Tip: When working with scale drawings, always ensure you're consistently using the units provided in the scale to avoid errors in calculation!