A rectangle has an area of 20 square units. What are its possible dimensions? List as many different dimensions as you can in multiplication sentences. Is 20 a prime or composite number? How do you know? Explain how you arrived at your answers in sentences below.

A. Dimensions: 1x20, 2x10, 4x5; 20 is composite because it has more than two factors.
B. Dimensions: 1x20, 2x10, 5x4; 20 is prime because it has only two factors.
C. Dimensions: 2x20, 3x10, 4x5; 20 is composite because it has more than two factors.
D. Dimensions: 2x20, 4x10, 5x2; 20 is prime because it has only two factors.

The possible dimensions of a rectangle with an area of 20 square units are 1x20, 2x10, 4x5. The number 20 is a composite number because it has more than two factors: 1, 2, 4, 5, 10, and 20.

Explanation:

The possible dimensions for a rectangle with an area of 20 square units, based on integer factors of 20, are as follows: 1x20, 2x10, 4x5. These pairs demonstrate multiplication sentences that, when multiplied, yield the area of 20 square units.

The number 20 is a composite number, not a prime number. A prime number has only two factors: 1 and itself. A composite number has more than two factors. The factors of 20 are 1, 2, 4, 5, 10, and 20, which are clearly more than two, hence it is composite.

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