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To identify the scale factor between the squares, we can compare the side lengths of both squares.

The side length of the smaller square is 8 units, and the side length of the larger square is 24 units.

The scale factor can be calculated by dividing the side length of the larger square by the side length of the smaller square:

\[
\text{Scale factor} = \frac{\text{Side length of larger square}}{\text{Side length of smaller square}} = \frac{24}{8} = 3
\]

So, the scale factor is **3**.

Would you like more details or have any questions? Here are some related questions for further exploration:

1. What is the ratio of the areas of the two squares?
2. If the smaller square had a side length of 10, what would the side length of its scaled copy be with the same scale factor?
3. How do we calculate the scale factor if we know the areas instead of the side lengths?
4. What happens to the perimeter of the square when the side length is scaled?
5. Can you have a non-integer scale factor? How would that affect the resulting square?

**Tip:** The scale factor applies to all corresponding lengths in similar figures, so it also affects the perimeter and area!

The square on the right is a scaled copy of the square on the left. Identify the scale factor. Express your answer as a whole number or fraction in simplest form.

Learn how to identify the scale factor between two squares. This problem demonstrates the use of ratios and proportions in geometry. Suitable for students in Grades 6-8.

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