Final answer:
To find the perfect squares around 120, identify the integers that are closest to the square root of 120. Squaring these integers gives us 10^2 = 100 and 11^2 = 121, so 120 falls between these perfect squares.
Step-by-step explanation:
The question asks us to find two perfect squares between which the area of a square sports court, that is 120 square meters, would fall. To address this, we should find the square roots of the closest perfect squares around the number 120. The square root of a perfect square is an integer, and since √120 is between the integers 10 and 11, we can identify the perfect squares by squaring these integers.
102 = 100 and 112 = 121. Therefore, the area of the square sports court falls between these two perfect squares, 100 and 121.