Final answer:
To compare the areas of Marta's squares, we calculate the area of each using the formula side² and find that the larger square (with a side length of 8 inches) has an area four times greater than the smaller square (with a side length of 4 inches).
Step-by-step explanation:
Comparing Areas of Squares
The question involves comparing the areas of two squares with different side lengths. Marta has a square with a side length of 4 inches (smaller square). If she has another square with dimensions that are twice the size of the first square (larger square), then the side length of the larger square is 8 inches.
To determine the area of each square, we use the formula for the area of a square, which is the side length squared (Area = side²). Therefore, the area of the smaller square would be 4 inches x 4 inches = 16 square inches. The area of the larger square would be 8 inches x 8 inches = 64 square inches.
To find the ratio of the larger square's area to the smaller square's area, we divide the area of the larger square by the area of the smaller square. Thus the ratio is 64 square inches / 16 square inches = 4. This means the area of the larger square is four times that of the smaller square.