Let's solve the questions based on the scale drawing in the image.

Given:

• Scale: 1 cm on the drawing represents 2 m in real life.

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

The ruler in the image shows the width of the building as 10 cm in the drawing.

To find the real width: $\text{Real width} = \text{Width on drawing} \times \text{Scale factor}$ $\text{Real width} = 10 \, \text{cm} \times 2 \, \text{m/cm} = 20 \, \text{m}$ So, the width of the building in real life is 20 metres.

b) The real building is 4.6 m tall. What is the height of the drawing of the building, in centimetres?

We know that 1 cm represents 2 m. To find the height on the drawing: $\text{Height on drawing} = \frac{\text{Real height}}{\text{Scale factor}}$ $\text{Height on drawing} = \frac{4.6 \, \text{m}}{2 \, \text{m/cm}} = 2.3 \, \text{cm}$ So, the height of the drawing is 2.3 cm.

Would you like further details or clarifications? Here are some related questions to extend your understanding:

1. If the real building were 50 meters wide, what would its width be in the drawing?
2. What would the real height of the building be if the height in the drawing was 5 cm?
3. If 1 cm in the drawing represented 5 meters in real life, how would that change the width calculation?
4. How tall would the drawing be if the real building were 9.2 meters tall?
5. What is the importance of maintaining the scale ratio in architectural drawings?

Tip: Always keep track of units in scale problems to avoid confusion between centimeters and meters!