Based on the figure, we see that ABCD became A'B'C'D' by a simple rotation about point Q. However, rotations DO NOT affect the area; they only affect the position.
Thus, AB = A'B' and BC = B'C'.
So, the dimensions of both rectangles ABCD and A'B'C'D' are 6 by 2. Thus, the area of both is 12 units squared.
The answer is 12 I believe. This is because we know one of the lengths which is 2. And then we can use the second rectangle to figure out the second side length.
Please forgive me if I am wrong. Thank you and have a nice day!