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False. Squares need 2 sets of parallel sides and 4 right angles, parallelograms only need 2 sets of parallel sides.

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Final answer:

By doubling the side length of a square from 4 inches to 8 inches, the area increases by a scale factor of 4, resulting in the larger square having an area four times greater than the smaller square.

Step-by-step explanation:

The question presents a scenario involving two squares where the second square has dimensions twice those of the first square. Since Marta's original square has a side length of 4 inches, we can calculate the side length of the larger square by doubling that measurement. This gives us:


  • Side length of larger square = 4 inches × 2 = 8 inches

To compare the area of the two squares, we square the side lengths:


  • Area of the smaller square = 4 inches × 4 inches = 16 square inches

  • Area of the larger square = 8 inches × 8 inches = 64 square inches

The area of the larger square is four times that of the smaller square because when side lengths are doubled, the area increases by a scale factor of the square of the multiplier, which in this case is 2² = 4.

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