Final answer:
The scale factor from Rectangle Q to Rectangle R is the square root of the ratio of the areas of Rectangle R to Rectangle Q. Without the area of Rectangle R, the exact scale factor cannot be determined.
Step-by-step explanation:
To determine the scale factor used to go from Rectangle Q to Rectangle R, we would need additional information regarding the dimensions of Rectangle R. Since the area of Rectangle Q is given as 2 square units, we would compare this with the area of Rectangle R to find the scale factor. For instance, if the area of Rectangle R were 8 square units, and assuming Rectangle R is a scaled-up version of Rectangle Q, the scale factor would be determined by taking the square root of the ratio of the areas because the area of a figure is proportional to the square of the scale factor.
Suppose the area of Rectangle R is 's' square units. Then the ratio of the areas would be s/2. If, for example, 's' is 8, then the ratio is 8/2, which simplifies to 4. Taking the square root gives us a scale factor of 2, meaning each dimension of Rectangle Q is multiplied by 2 to obtain the dimensions of Rectangle R.