The length of a car is 472 centimetres.Mikhail makes a scale model of the car using a scale of 1 : 20(a) Work out the length of the scale model.

1. Break Down the Problem

To find the length of the scale model, we need to understand the given scale ratio and apply it to the actual length of the car.

2. Relevant Concepts

The scale of 1 : 20 means that 1 unit on the model corresponds to 20 units on the actual car. Therefore, to find the length of the scale model, we can use the formula: $\text{Length of Scale Model} = \frac{\text{Actual Length}}{\text{Scale Factor}}$ Where:

• Actual Length = 472 cm
• Scale Factor = 20

3. Analysis and Detail

Now, we will calculate the length of the scale model:

$\text{Length of Scale Model} = \frac{472 \text{ cm}}{20}$ Calculating this gives: $\text{Length of Scale Model} = 23.6 \text{ cm}$

4. Verify and Summarize

To verify, we can check our calculation: $23.6 \text{ cm} \times 20 = 472 \text{ cm}$ Since the result matches the actual length of the car, our calculation is confirmed.

Final Answer

The length of the scale model is 23.6 centimetres.