Final answer:
Statement A is true because multiplying 4 by 9 yields 36. This logic applies to the question regarding areas of squares, where doubling the side length of a square results in an area that is four times larger.
Correct option is A) 36 is 9 times larger than 4
Step-by-step explanation:
If 36 is 4 times larger than 9, then we understand that multiplying 9 by 4 gives us 36. To analyze the given statements, we need to apply the same logic to each one:
- A) 36 is 9 times larger than 4: This would imply 4 x 9 = 36, which is true.
- B) 9 is 36 times larger than 4: This would imply 4 x 36 = 144, which does not match our initial numbers.
- C) 4 is 9 times larger than 36: The calculation would be 36 x 9, which is incorrect.
- D) 9 is 4 times larger than 36: This is untrue because 36 x 4 = 144.
Only statement A is correct according to the logic that multiplies one number to get another times larger value. To illustrate this concept further, let's consider the example of a square's area:
Marta has a square with a side length of 4 inches. When she doubles the dimensions to create a similar larger square, the side length becomes 8 inches. Since the area of a square is calculated by squaring the side length, the area of the larger square would be 8 inches x 8 inches = 64 square inches. Comparatively, the area of the smaller 4-inch square is 4 inches x 4 inches = 16 square inches. Hence, the area of the larger square is 4 times larger than that of the smaller square.