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Answer: 37.05m^2
Step-by-step explanation:
Area of shaded region = Area of rectangle - non shaded region (the middle shapes)
Rectangle = 13.7 x 14.4 = 197.28m^2
Left half circle: 3.14 x 6.3^2 = 124.6266m^2
Right half circle: 3.14 x 2.8^2 = 24.6176m^2
Square: 3.3^2 = 10.98 m^2
197.28 - ( 124.63 + 24.62 +10.98 ) = 37.05 m^2