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To find the area of the playing field, we need to calculate the area of the rectangle and add the area of the semi-circle.
Area of rectangle:
Length = 8 meters
Width = 7 meters
Area = Length x Width
Area = 8 x 7
Area = 56 square meters
Area of semi-circle:
Radius = 4 meters
Area = πr^2/2
Area = π(4)^2/2
Area = 8Ï€ square meters (approximately 25.13 square meters)
Total Area = Area of rectangle + Area of semi-circle
Total Area = 56 + 25.13
Total Area ≈ 81.13 square meters
Therefore, the closest option is:
c. 56 square meters