Area Scale Fraction 62A7E5

1. **State the problem:** We have Polygon Q as a scaled copy of Polygon P with a scale factor of $\frac{1}{2}$. We need to find the fraction of Polygon Q's area compared to Polygon P's area. 2. **Recall the area scaling rule:** When a polygon is scaled by a factor of $k$, its area is scaled by the factor $k^2$. 3. **Apply the scale factor:** Here, the scale factor is $k = \frac{1}{2}$. 4. **Calculate the area scale factor:** $$\left(\frac{1}{2}\right)^2 = \frac{1}{4}$$ 5. **Interpretation:** Polygon Q's area is $\frac{1}{4}$ of Polygon P's area. **Final answer:** Polygon Q’s area is $\frac{1}{4}$ of Polygon P’s area.