A model of a ship is made to a scale of 1:200. If the length of the model is 4 m, calculate the length of the ship.

Answer

To solve the problem, we need to use the scale provided to find the actual length of the ship based on the length of the model.

### Step-by-Step Solution:

1. **Understand the Scale**: The scale given is 1:200. This means that 1 unit of measurement on the model corresponds to 200 units of measurement on the actual ship.

2. **Identify the Length of the Model**: The length of the model is given as 4 meters.

3. **Set Up the Proportion**: Since the scale indicates that 1 meter of the model equals 200 meters of the actual ship, we can set up the following equation:
\[ \text{Length of the ship} = \text{Length of the model} \times \text{Scale Factor} \]

4. **Calculate the Length of the Ship**: Substitute the known values into the equation:
\[ \text{Length of the ship} = 4 \, \text{m} \times 200 \]

5. **Perform the Multiplication**:
\[ \text{Length of the ship} = 800 \, \text{m} \]

6. **Conclusion**: The actual length of the ship is 800 meters.

### Final Answer:
The length of the ship is **800 meters**.

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