To find the scale factor between the two rectangles, we compare the corresponding dimensions of the two rectangles.

For the width:

• The width of the rectangle on the left is 33 units.
• The width of the rectangle on the right is 11 units.

To find the scale factor for the width, divide the smaller width by the larger width: $\text{Scale factor for width} = \frac{11}{33} = \frac{1}{3}.$

For the height:

• The height of the rectangle on the left is 15 units.
• The height of the rectangle on the right is 5 units.

To find the scale factor for the height, divide the smaller height by the larger height: $\text{Scale factor for height} = \frac{5}{15} = \frac{1}{3}.$

Since both the width and height scale factors are $\frac{1}{3}$, the scale factor of the rectangle on the right to the rectangle on the left is:

$\boxed{\frac{1}{3}}.$

Would you like more details or have any questions?

Here are 5 related questions:

1. How does a scale factor affect the area of a shape?
2. What is the relationship between the scale factor and perimeter of scaled figures?
3. If the scale factor was $\frac{2}{3}$, how would the dimensions of the rectangles compare?
4. Can a scale factor ever be negative, and what would that represent geometrically?
5. How do we apply scale factors in real-world problems like maps or model building?

Tip: Always check both the width and height (or other dimensions) to confirm a consistent scale factor for all sides when comparing scaled figures.