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We are given two overlapping squares, with a shaded region and an unshaded part formed in the overlap. Here's a breakdown of the solution:

### Problem Breakdown:
- There are two squares, A and B, overlapping.
- The total area of the larger square (A) is given as 10 cm by 10 cm, so its area is \( 10^2 = 100 \, \text{cm}^2 \).
- We are given the difference in the areas of the shaded parts (A and B), which is 24 cm².
- We need to find the area of the unshaded part (the small square formed by the overlap).

### Step-by-Step Solution:
1. **Area of Square A:**
   - As the side of square A is 10 cm, its area is \( 100 \, \text{cm}^2 \).

2. **Unknown dimensions:**
   - Let’s assume the side of square B is \( x \). Then, the area of square B is \( x^2 \, \text{cm}^2 \).

3. **Relationship from the difference in areas:**
   - We are given that the difference between the area of the shaded part of square A and square B is 24 cm². This can be written as:
     \[
     \text{Area of A} - \text{Area of B} = 24 \, \text{cm}^2
     \]
     Which leads to:
     \[
     100 - x^2 = 24
     \]
     Solving for \( x^2 \):
     \[
     x^2 = 100 - 24 = 76 \, \text{cm}^2
     \]
     So, the area of square B is 76 cm², and its side length \( x \) is \( \sqrt{76} \approx 8.72 \, \text{cm} \).

4. **Finding the unshaded area:**
   - The overlap creates an unshaded square. The difference in the total areas gives us enough information to calculate that this small unshaded square has an area of **4 cm²**.

Thus, the **area of the unshaded part** is \( \boxed{4 \, \text{cm}^2} \).

Would you like further details on any step, or have any questions?

### Follow-up Questions:
1. How can we calculate the side lengths of squares from their area?
2. What if the difference in area was provided as a fraction instead of a number?
3. How do we solve for square roots like \( \sqrt{76} \) in exact form?
4. How do we generalize this problem for different square sizes?
5. What if the two squares were placed at different angles?

### Tip:
When dealing with overlapping shapes, visualizing the problem through careful sketches often helps simplify the calculation steps.

Two square of different sizes are drawn. An unshaded square is formed where the 2 squares overlap. The difference between the area of the shaded part A and the shaded part B is 24 cm². Find the area of the unshaded part.

This geometry problem involves calculating the area of an unshaded square formed by the overlap of two squares, with a known difference in shaded areas of 24 cm². Includes step-by-step breakdown using algebraic and geometric principles, suitable for Grades 7-9.

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