Final answer:
To find the fraction of Polygon Q's area to Polygon P's area, square the scale factor. For example, if the scale factor is 2, then the ratio of the areas is 2^2 = 4. This means Polygon Q's area is 4 times smaller than Polygon P's area.
Step-by-step explanation:
Polygon Q is a scaled copy of Polygon P using a scale factor of Y. To find the fraction of Polygon Q's area to Polygon P's area, we need to square the scale factor. Let's say the area of Polygon P is A and the area of Polygon Q is B.
The scale factor is Y, so the ratio of the areas is B/A = (Y^2).
For example, if the scale factor is 2, then the ratio of the areas is 2^2 = 4.
This means Polygon Q's area is 4 times smaller than Polygon P's area.
Therefore, the fraction of Polygon Q's area to Polygon P's area is 1/4.