1. **State the problem:** We need to find the scale factor that takes rectangle Y to rectangle Z. 2. **Identify the dimensions:** - Rectangle Y height = $9 \frac{1}{2} = 9.5$ - Rectangle Y width = $5 \frac{1}{2} = 5.5$ - Rectangle Z height = $4 \frac{2}{3} = 4 + \frac{2}{3} = \frac{14}{3} \approx 4.6667$ - Rectangle Z width = $2 \frac{2}{7} = 2 + \frac{2}{7} = \frac{16}{7} \approx 2.2857$ 3. **Formula for scale factor:** $$\text{scale factor} = \frac{\text{dimension of Z}}{\text{corresponding dimension of Y}}$$ 4. **Calculate scale factor for height:** $$\frac{4 \frac{2}{3}}{9 \frac{1}{2}} = \frac{\frac{14}{3}}{\frac{19}{2}} = \frac{14}{3} \times \frac{2}{19} = \frac{28}{57}$$ 5. **Calculate scale factor for width:** $$\frac{2 \frac{2}{7}}{5 \frac{1}{2}} = \frac{\frac{16}{7}}{\frac{11}{2}} = \frac{16}{7} \times \frac{2}{11} = \frac{32}{77}$$ 6. **Simplify fractions:** - $\frac{28}{57}$ cannot be simplified further. - $\frac{32}{77}$ cannot be simplified further. 7. **Compare scale factors:** - Height scale factor = $\frac{28}{57} \approx 0.4912$ - Width scale factor = $\frac{32}{77} \approx 0.4156$ Since the scale factors are not equal, the rectangles are not perfectly scaled copies by the same factor. However, if the problem assumes uniform scaling, the scale factor is approximately the average or the one that best fits. **Final answer:** The scale factor from rectangle Y to rectangle Z is approximately $\frac{28}{57}$ or about 0.49 based on height, or $\frac{32}{77}$ or about 0.42 based on width.