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The question provided asks about finding the scale factor between Figure 1 and Figure 2, given their areas.

### Information from the problem:
- **Area of Figure 1**: 6 square units.
- **Area of Figure 2**: 294 square units.

### Steps to Solve:
The scale factor between two similar figures based on their areas can be found using the following formula:

\[
\text{Scale factor} = \sqrt{\frac{\text{Area of Figure 2}}{\text{Area of Figure 1}}}
\]

Now we can calculate it:

\[
\text{Scale factor} = \sqrt{\frac{294}{6}} = \sqrt{49} = 7
\]

### Explanation:
The scale factor between Figure 2 and Figure 1 is **7**. This means that each linear dimension (such as height, width, or side length) of Figure 2 is 7 times larger than the corresponding dimension in Figure 1. Since area scales with the square of the linear dimensions, a linear scale factor of 7 results in an area scale factor of \(7^2 = 49\), which matches the ratio of areas (294/6).

Would you like any more details or have any questions about this?

Here are 5 related questions for further exploration:
1. How do you find the scale factor if you know the perimeters of two similar figures?
2. What happens to the volume if you increase the scale factor of a 3D object by 7?
3. How would the figures change if the scale factor were less than 1?
4. How is the scale factor related to the similarity of geometric shapes?
5. Can you calculate the new perimeter of Figure 2, assuming you know the perimeter of Figure 1?

**Tip**: When working with scale factors, remember that areas scale by the square of the linear scale factor, and volumes scale by the cube.

Figure 2 is a scale drawing of Figure 1. Figure 1 has an area of 6 square units, and Figure 2 has an area of 294 square units. What scale factor relates Figure 2 to Figure 1? Explain how you know.

Learn how to find the scale factor between two similar figures. In this problem, Figure 1 has an area of 6 square units and Figure 2 has an area of 294 square units. Discover how to calculate the scale factor using geometry and area ratios. Suitable for Grade 7 students.

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