Scale Factor 0B485D

1. **Problem statement:** Rectangle $Q$ has an area of $2$ square units. Thea drew a scaled version of Rectangle $Q$ and labeled it Rectangle $R$. We want the scale factor from Rectangle $Q$ to Rectangle $R$. 2. **Formula used:** For similar figures, the area scale factor is the square of the linear scale factor. $$\text{Area scale factor} = (\text{linear scale factor})^2$$ So if the linear scale factor is $k$, then $$\frac{\text{area of }R}{\text{area of }Q}=k^2$$ 3. **Important rule:** A scale factor compares matching side lengths, not areas. If the figure is scaled by $k$, then area changes by $k^2$. 4. **Use the information given:** The problem says Rectangle $R$ is a scaled version of Rectangle $Q$, but the area of Rectangle $R$ is not given in the prompt shown here. Since only the area of Rectangle $Q$ is provided, the scale factor cannot be determined from the visible information alone. 5. **Final answer:** There is not enough information shown to find the scale factor.