The scale factor for the corresponding areas of two rectangles is the square of the scale factor for the rectangles themselves.
Here's how you can calculate it:
1. Given the scale factor for the rectangles is 3, it means that corresponding sides of the rectangles are in a ratio of 3:1.
2. The scale factor for the areas of the rectangles is calculated by squaring the scale factor for the sides. In this case, 3 squared is 9.
Therefore, the scale factor for the corresponding areas of the two rectangles is 9.
