Thank you for providing the width. Let's calculate the scaled dimensions of the rectangle now that we have both the length and width.

Given Information:

• Original length of the rectangle: 12 inches
• Original width of the rectangle: 8 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: $\text{Scaled Width} = \text{Original Width} \times \text{Scale Factor}$ $\text{Scaled Width} = 8 \times \frac{2}{3} = \frac{16}{3} \approx 5.\overline{3} \text{ inches}$

Final Dimensions of the Scale Drawing:

• Length: 8 inches
• Width: $\frac{16}{3}$ inches, or approximately 5.33 inches.

The dimensions of the scale drawing of the rectangle are 8 inches by 5.33 inches.

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

1. What is the area of the scaled rectangle?
2. How does the perimeter of the scaled rectangle compare to the original?
3. If the scale factor were $\frac{1}{2}$, what would the new dimensions be?
4. What is the scale factor if the scaled width needs to be exactly 4 inches?
5. How do you calculate the dimensions of a rectangle if only the diagonal and scale factor are known?

Tip: To maintain the proportions of a scaled drawing, ensure all measurements are multiplied by the same scale factor.