Four squares gardens have the following in square meters: 144,32,72,and 250. Which area had a rational numbers as the side length?

1 answer

A rational number is a number that can be expressed as a fraction of two integers. The square of a rational number will also be a rational number.

The area of a square is equal to the side length squared. Therefore, if the area is a rational number, the side length must also be a rational number.

Out of the given areas, 144, 32, 72, and 250, the only one that has a rational side length is 144.

The side length of the square with an area of 144 square meters is √144 = 12, which is a rational number because it can be expressed as 12/1.