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The area of the playing field can be calculated by finding the sum of the areas of the original rectangle and the rectangular area that was removed.
Area of original rectangle = length x width
= 10m x 6m
= 60 square meters
Area of removed rectangle = length x width
= (10m - 8m) x (6m - 4m)
= 2m x 2m
= 4 square meters
Area of playing field = Area of original rectangle - Area of removed rectangle
= 60 square meters - 4 square meters
= 56 square meters
Therefore, the area of the playing field is 56 square meters.