The problem provided involves scaling a rectangle using a given scale factor.

Original Dimensions of the Rectangle:

• Width: 4 units
• Height: 8 units

Given Scale Factor:

• $\frac{1}{4}$

Scaling Process:

To create a scaled copy of the rectangle, we need to multiply both the width and height of the original rectangle by the scale factor $\frac{1}{4}$.

1. Scaled Width:
   $4 \times \frac{1}{4} = 1 \text{ unit}$

2. Scaled Height:
   $8 \times \frac{1}{4} = 2 \text{ units}$

Conclusion:

The scaled rectangle has dimensions:

• Width: 1 unit
• Height: 2 units

This means the new rectangle will be much smaller than the original, and the corresponding length of 4 units in the original becomes 1 unit in the scaled version.

Would you like more details or have any other questions? Here are five related questions you might find helpful:

1. How do scale factors affect both dimensions of a shape?
2. What happens to the area of the rectangle after scaling it by $\frac{1}{4}$?
3. How do we reverse a scaled copy back to the original dimensions?
4. What is the relationship between scale factors and perimeter?
5. Can you explain how scaling works for non-rectangular shapes like triangles?

Tip: Scaling by a fraction reduces all dimensions proportionally, and you can apply the scale factor to other attributes like perimeter or area too!