Final answer:
The area of the larger square is 4 times the area of the smaller square.
Step-by-step explanation:
The area of the larger square is 4 times larger than the area of the smaller square. When comparing areas of similar figures, the ratio of areas is the square of the scale factor.
In this case, since the dimensions of the larger square are twice the dimensions of the smaller square, the scale factor is 2. So, the area of the larger square is 2^2 = 4 times the area of the smaller square.