A rectangle has a length of 12 in. Lexi makes a scale drawing of the rectangle using a scale factor of 2/3. What are the dimensions of the scale drawing?

To find the dimensions of the scale drawing of the rectangle, we'll apply the scale factor to each dimension of the original rectangle.

### Given Information:
- Original length of the rectangle: 12 inches
- Scale factor: \( \frac{2}{3} \)

### Calculating the Scaled Dimensions:

1. **Scaled Length:**
   \[
   \text{Scaled Length} = \text{Original Length} \times \text{Scale Factor}
   \]
   \[
   \text{Scaled Length} = 12 \times \frac{2}{3} = 8 \text{ inches}
   \]

2. **Scaled Width:**
   Since the width is not provided, we can denote the original width as \( W \). The scaled width is:
   \[
   \text{Scaled Width} = W \times \frac{2}{3}
   \]

### Final Dimensions of the Scale Drawing:
- **Length:** 8 inches
- **Width:** \( \frac{2}{3}W \)

Without the original width, the scaled width remains \( \frac{2}{3}W \). However, if you provide the width, we can calculate the scaled width accordingly.

Would you like to provide the width or have more details on any step? Here are some related questions:

1. What would be the scaled dimensions if the original width is 9 inches?
2. How would the scale factor change if we wanted the scaled length to be 10 inches?
3. What is the area of the scaled rectangle in terms of the original width \(W\)?
4. How does changing the scale factor affect the perimeter of the scaled rectangle?
5. What would the scaled dimensions be if the scale factor were \(\frac{1}{2}\) instead?

**Tip:** When scaling objects, all linear dimensions (length, width, height) are multiplied by the same scale factor.

Explore how to calculate the dimensions of a scale drawing using a scale factor of 2/3. Understand the method for scaling both length and width, with an example problem involving a rectangle of original length 12 inches. Suitable for students in Grades 6-8.

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