Final answer:
The question addresses the concept of scaling a square's dimensions in geometry. The area of the larger square, which has sides twice as long as the smaller square, is 4 times the area of the smaller square.
Step-by-step explanation:
The question involves a concept in mathematics known as scaling in geometry. Marta's first square has a side length of 4 inches. To determine the area of a square, we use the formula Area = side². So, for the smaller square, the area is 4 inches × 4 inches = 16 sq inches.
A ------------ B
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D ------------ C
Following the problem statement, the dimensions of the larger square are twice those of the first square. Hence, the side length of the larger square would be 4 inches × 2 = 8 inches. The area of the larger square would then be 8 inches × 8 inches = 64 sq inches.
To compare the area of the larger square to the smaller square, we write a ratio of their areas: 64 sq inches (larger square) / 16 sq inches (smaller square) = 4. This means that the area of the larger square is 4 times the area of the smaller square.
E ------------ F
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H ------------ G