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Looking at the questions:

1. **Question 7** asks for the length of \( x \). 
   - \( x \) seems to be the missing side of the trapezoid \( T \).
   - The scale factor is provided as 4, and trapezoid \( S \) has corresponding sides given as 2.2 cm and 4.5 cm.

2. **Question 8** asks for the length of \( y \), which seems to refer to another part of the trapezoid or a corresponding figure.

3. **Question 9** asks for the scale factor from \( S \) to \( T \), but it seems to repeat the earlier information (scale factor = 4).

To calculate \( x \), you can use the scale factor of 4. Let's assume that trapezoid \( T \) is 4 times larger than trapezoid \( S \).

Given side lengths for \( S \):
- One side = 2.2 cm.

For trapezoid \( T \):
- Corresponding side \( x \) can be calculated by multiplying the side of \( S \) by 4.

Let me calculate this for you.The length of \( x \) (the corresponding side in trapezoid \( T \)) is 8.8 cm.

Would you like help with other questions, such as the length of \( y \), or further clarification on the scale factor calculations?

Here are 5 related questions you might explore:
1. How do we apply scale factors to non-linear dimensions like area or volume?
2. If the area of trapezoid \( S \) is known, how can we find the area of trapezoid \( T \)?
3. What is the effect of the scale factor on the perimeter of similar figures?
4. How do you find unknown dimensions if the scale factor is a fraction instead of a whole number?
5. What would the reverse scale factor be from trapezoid \( T \) to trapezoid \( S \)?

**Tip**: Always check whether the scale factor is applied uniformly to all corresponding dimensions (sides, areas, or volumes), as they scale differently.

Learn how to solve problems involving scale factors with trapezoids. This problem covers the calculation of missing side lengths in similar figures, using the scale factor formula. Suitable for students in Grades 6-8.

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