Final answer:
The pairs of numbers from the provided options that result in the area of 81 square centimeters are Option A (1 cm and 81 cm), Option C (9 cm and 9 cm), and Option D (3 cm and 27 cm). All three are mathematically correct but additional context is needed if a single correct answer is required.
Step-by-step explanation:
The question is concerned with finding a pair of numbers that, when multiplied, give the area of a rectangle, which is 81 square centimeters. To solve this, we need to identify which pair of numbers from the given options results in the specified area when used in the formula Area = length × width.
- Option A: 1 cm × 81 cm = 81 cm²
- Option B: 7 cm × 12 cm = 84 cm²
- Option C: 9 cm × 9 cm = 81 cm²
- Option D: 3 cm × 27 cm = 81 cm²
Options A, C, and D all result in an area of 81 cm². The correct answer, based on the question, could be any of these three options as they are all mathematically valid pairs to produce an area of 81 cm². However, since the question asks for a singular answer, if the test requires only one correct response, additional context or instructions may be necessary to determine the intended answer.