https://file.aiquickdraw.com/mathbot/file/1726779015483q074edu9.jpg

To find the scale of the drawing in centimeters to meters, we will compare the actual dimensions of the Olympic pool to the dimensions given in the scale drawing.

### Given information:
- **Actual dimensions of the pool:**  
  Length = 50 meters  
  Width = 25 meters
- **Scale drawing dimensions:**  
  Length = 100 centimeters  
  Width = 50 centimeters

### Step 1: Convert the actual dimensions to centimeters.
Since 1 meter = 100 centimeters, we convert the actual dimensions:
- Length = 50 meters = \( 50 \times 100 = 5000 \) cm
- Width = 25 meters = \( 25 \times 100 = 2500 \) cm

### Step 2: Find the scale.
Now, the scale is the ratio of the drawing dimensions to the actual dimensions. 

For the length:
\[
\text{Scale for length} = \frac{\text{Length of drawing}}{\text{Actual length}} = \frac{100 \text{ cm}}{5000 \text{ cm}} = \frac{1}{50}
\]

For the width:
\[
\text{Scale for width} = \frac{\text{Width of drawing}}{\text{Actual width}} = \frac{50 \text{ cm}}{2500 \text{ cm}} = \frac{1}{50}
\]

Thus, the scale of the drawing is **1:50**, meaning that 1 cm on the drawing represents 50 cm (or 0.5 meters) in real life.

Would you like further clarification or details?

### Additional Questions:
1. How would you convert the scale into a different unit, such as inches or feet?
2. What would the scale be if the actual pool was twice as large?
3. How can we calculate the diagonal of the pool using the scale factor?
4. If the diagonal of the real pool were given, could you verify it with the drawing's scale?
5. How would the scale change if the pool's length were reduced?

### Tip:
Always ensure the units are consistent when calculating scales. Converting to the same unit system before comparing ensures accuracy.

What is the scale of the drawing in centimeters to meters?

Learn how to determine the scale of an Olympic swimming pool drawing in centimeters to meters. This problem involves calculating the ratio of drawing dimensions to actual dimensions, including unit conversion from meters to centimeters. Suitable for students in Grades 6-8.

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