We know that if the original figure is rotated 270 degrees about the origin then it leads to the transformation in which each of the vertices of the figure are transformed and are given by the rule:
(x,y) → (y,-x)
Here we have the vertices of the Triangle RST as:
R(2, 0), S(4, 0), and T(1, –3).
Now, when this triangle is rotated 270 degrees about the origin then the resulting image has vertices as follows:
The reason why it is 1/3n=12, is because you know that the number in front of n is 1/3. By figuring that out, you have already ruled out 3n=12 and 3n=-12. Finally, you know that 12 is a positive number leaving you with 1/3n=12.