Final answer:
The optimal square arrangement of 8000 seats would involve creating a square with each side containing 89 seats, leaving 79 extra seats to be distributed elsewhere.
Step-by-step explanation:
The best way to arrange 8000 seats in a square block would be to have each side of the square be equal in length. Since the area of a square is calculated by squaring the side length, we want to find a number that, when squared, is close to 8000 but doesn't exceed it.
The square root of 8000 is approximately 89.44, but since we can't have a fraction of a seat, we'll round down to the nearest whole number, which is 89.
Therefore, the best arrangement would be a square with each side having 89 seats. However, since 89^2 equals 7921, which is short of 8000, we would be left with 8000 - 7921 = 79 seats.
These extra seats could be added to some of the rows or placed in a separate section.