Final answer:
The length of the sides of the larger square is 8 inches. The area of the larger square is 48 square inches more than the area of the smaller square.
Step-by-step explanation:
To determine the length of the sides of the larger square, we can use the information that the dimensions of the larger square are twice the first square. Since the side length of the first square is 4 inches, the side length of the larger square would be 4 inches x 2 = 8 inches.
The area of a square is equal to the side length squared. So, 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. Therefore, the area of the larger square is 48 square inches more than the area of the smaller square.