Foursquare Gardens have a following areas in square meters 144, 32, 72 70 and for 50250. Which area has a rational number of meters as the side lengths
The areas that have a rational number of meters as the side lengths are 144, 32, 72, and 70.
To identify which area has a rational number of meters as the side lengths, we need to determine which area can be the square of a rational number.
A rational number is any number that can be expressed as a fraction of two integers, where the denominator is not zero.
Let's calculate the square root of each area and check if it is a rational number:
1. The area is 144 square meters. The square root of 144 is 12, which is a rational number since it can be expressed as 12/1.
2. The area is 32 square meters. The square root of 32 is approximately 5.65685424949, which is an irrational number. So, the side lengths are not rational.
3. The area is 72 square meters. The square root of 72 is approximately 8.48528137424, which is an irrational number. So, the side lengths are not rational.
4. The area is 70 square meters. The square root of 70 is approximately 8.36660026534, which is an irrational number. So, the side lengths are not rational.
5. The area is 50250 square meters. The square root of 50250 is 223.924660174, which is an irrational number. So, the side lengths are not rational.
Out of the given areas, only the area of 144 square meters has a rational number of meters as the side length.