Final answer:
The correct dimensions for a rectangle with an area of 21 square centimeters could be 3 cm by 7 cm, which is Option D. Options A and C are not correct because they do not take into account the additional information provided about the measurement of the width.
Step-by-step explanation:
The question is about finding the possible dimensions of a rectangle given its area. Since the area is the product of the length and width, we can calculate potential pairs of dimensions that multiply together to give the area of 21 square centimeters.
We'll evaluate each given option by multiplying the pairs of numbers.
- Option A: 1 cm × 21 cm = 21 cm²
- Option B: 2 cm × 11 cm ≠ 21 cm² (does not equal 21 cm²)
- Option C: 4 cm × 6 cm = 24 cm² (does not equal 21 cm²)
- Option D: 3 cm × 7 cm = 21 cm²
Reviewing the options, both A and D yield an area of 21 square centimeters, so these could be the rectangle's length and width. However, given additional information that the rectangle's width is measured to be 1.25 cm, we have to exclude Option A, and thus Option D with 3 cm and 7 cm dimensions remains as the correct answer.