A model of a aeroplane (somewhat triangular in shape) is made on the scale of `1 : 100`. The model is 150 cm long, what is the length of the actual aeroplane?

Options

A. 170 m
B. 150 m
C. 200 m
D. 15 m

Answer

To find the length of the actual aeroplane based on the model's length and the scale, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Scale**: The scale given is 1:100. This means that 1 unit on the model represents 100 units in reality.

2. **Identify the Length of the Model**: The length of the model is given as 150 cm.

3. **Calculate the Length of the Actual Aeroplane**:
- Since the scale is 1:100, we can set up the relationship:
\[ \text{Length of actual aeroplane} = \text{Length of model} \times \text{Scale factor} \]
- Here, the scale factor is 100. Therefore:
\[ \text{Length of actual aeroplane} = 150 \, \text{cm} \times 100 \]
- Performing the multiplication:
\[ \text{Length of actual aeroplane} = 15000 \, \text{cm} \]

4. **Convert to Meters**: Since there are 100 cm in a meter, we convert the length from centimeters to meters:
\[ \text{Length in meters} = \frac{15000 \, \text{cm}}{100} = 150 \, \text{m} \]

5. **Final Answer**: The length of the actual aeroplane is **150 meters**.