Final answer:
Nico and Ariel are approximately 5.35 blocks apart.
Step-by-step explanation:
To find the distance between Nico and Ariel, we need to calculate the net displacement of each person. Nico walks 7.5 blocks north and then 3.25 blocks south, resulting in a net displacement of 4.25 blocks north. Ariel walks 3.25 blocks west and then 6.5 blocks south, resulting in a net displacement of 3.25 blocks west and 6.5 blocks south. To find the distance between them, we can use the Pythagorean theorem.
The distance is the square root of the sum of the squares of the horizontal and vertical displacements. In this case, the horizontal displacement is 3.25 blocks west, and the vertical displacement is 4.25 blocks north.
Therefore, the distance between Nico and Ariel is sqrt(3.25^2 + 4.25^2) = sqrt(10.5625 + 18.0625) = sqrt(28.625) = 5.35 blocks.