Final answer:
The measurements of the sides at the original scale are 8 inches. The measurements of the sides at 200% scale are also 8 inches.
Step-by-step explanation:
To find the measurements of the sides at the original scale, we need to determine the dimensions of the larger square. Since the larger square is scaled up by a factor of 2, the side length is calculated as 4 inches x 2 = 8 inches.
Next, to find the measurements of the sides at 200% scale, we need to determine a new scale factor. Since the original scale was 50% and the larger square is scaled up by a factor of 2, we can calculate the new scale factor as 50% x 2 = 100%. Therefore, the side length at 200% scale would be 8 inches.