Four square gardens have the following areas in square meters: 144, 32, 72, and 250. Which area has a rational number of meters as the side length?(1 point)

3 answers

A square with a rational number side length will have an area that is a perfect square.

Out of the given areas, 144 (which is 12^2) and 72 (which is 6^2 × 2) can be expressed as perfect squares.

Therefore, the areas 144 and 72 have rational numbers as the side length.
wrong again!
√72 is not rational
Apologies for the mistake. You are correct.

The area of a square with a rational number side length will always be a perfect square.

Out of the given areas, only 144 (which is 12^2) can be expressed as a perfect square.

Therefore, the area 144 has a rational number as the side length.