Question

Are the side lengths of this rectangle rational or irrational? Explain.

Options:
A) Rational because the square root of 4 and 9 is a whole number.
B) Irrational because the square root of 4 and 9 is not a whole number.
C) Rational because the product property applies.
D) Irrational because the product property does not apply.

Answer 1

The side lengths of the rectangle are rational because the square roots of 4 and 9 are whole numbers.

Step-by-step explanation:

The side lengths of a rectangle can be rational or irrational depending on the square roots of the numbers involved.

In this case, the question states that the square roots of 4 and 9 are being considered. Both 4 and 9 have whole number square roots (2 and 3, respectively), so the side lengths of the rectangle in this scenario would be rational.

Thus, option A, labeled "Rational" due to the whole number square roots of 4 and 9, accurately describes the nature of the side lengths in this scenario. The presence of whole number roots confirms the rationality of the side lengths, aligning with the nature of the numbers involved in the rectangle's dimensions.