https://file.aiquickdraw.com/mathbot/file/17255768735722w1hw50f.jpg

The image shows a geometric problem where **Figure A** is a scaled version of **Figure B** with a scale factor of **0.75**. In the image, the lengths of sides of **Figure A** and **Figure B** are given as 10 and **x**, respectively. The goal is to determine the length of **x** by using the provided scale factor.

Given:
- The scale factor from **A** to **B** is **0.75**.
- Side length of **A** is 10.

We can use the formula for scale copies:
\[
\text{Scale Factor} = \frac{\text{Side Length of Figure A}}{\text{Side Length of Figure B}}
\]

Substituting the values:
\[
0.75 = \frac{10}{x}
\]

Solving for **x**:
\[
x = \frac{10}{0.75} = \frac{10 \times 100}{75} = 13.33
\]

Thus, the length of **x** (side of Figure B) is **13.33** units.

Would you like more details, or do you have any questions?

Here are some related questions you might find useful:
1. How do you calculate the scale factor when both figures' dimensions are known?
2. What happens if the scale factor is greater than 1?
3. Can you apply this concept to three-dimensional shapes?
4. How does the area change when scaling a figure?
5. What is the difference between a scale factor and a ratio?

**Tip**: Always check if the scale factor is less than or greater than 1 to know if the image is shrinking or enlarging!

Figure A maps to Figure B with a scale factor of 0.75. Figure A has a side length of 10. Find the side length x of Figure B.

Learn how to solve for the side length of Figure B given a scale factor of 0.75 and a side length of 10 for Figure A. This problem explores geometric proportions and scale factors, making it suitable for students in Grades 6-8.

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