Final answer:
The larger square has an area that is 4 times the area of the smaller square.
Step-by-step explanation:
The dimensions of the larger square can be found by multiplying the side length of the smaller square by the scale factor, which is 2 in this case.
So, the side length of the larger square is 4 inches x 2 = 8 inches.
To compare the area of the larger square to the smaller square, we square the side length of each square.
The area of the smaller square is 4 inches x 4 inches = 16 square inches.
The area of the larger square is 8 inches x 8 inches = 64 square inches.
Thus, the area of the larger square is 64 square inches, which is 4 times the area of the smaller square.