The image you provided appears to be a problem related to unit conversion, where you are tasked with converting an area from 20 cm² to 100 mm².

To solve this:

1. First, recall the conversion between centimeters and millimeters:
   $1 \, \text{cm} = 10 \, \text{mm}$.

2. Since the problem involves area, remember to square the conversion factor. Therefore:
   $1 \, \text{cm}^2 = (10 \, \text{mm})^2 = 100 \, \text{mm}^2$.

3. Now, multiply the given area (20 cm²) by 100 (since 1 cm² = 100 mm²): $20 \, \text{cm}^2 \times 100 = 2000 \, \text{mm}^2$

Thus, $20 \, \text{cm}^2 = 2000 \, \text{mm}^2$.

Would you like further details or have any questions about this process? Here are some related questions you can explore:

1. How do you convert from cm² to m²?
2. What happens when we convert from inches² to cm²?
3. Why do we square the conversion factor for area units?
4. How would you convert between cubic units like cm³ and mm³?
5. Can we use this method to convert between other units of measurement for different physical quantities?

Tip: Always ensure you're working with the right power of the conversion factor when dealing with areas (square) or volumes (cube).