The maximum area of the school soccer field is given by the maximum length times the maximum width.
Thus maximum area = 120 x 80 = 9,600 square yards.
The minimum area of the school soccer field is given by the minimum length times the minimum width.
Thus maximum area = 100 x 55 = 5,500 square yards.
Therefore, the difference between the maximum area and the minimum area is 9,600 - 5,500 = 4,100 square yards.