Answer:
38.28cm²
Step-by-step explanation:
The area of the figure can be determined by expression the figure as two shapes.
   A semicircle and trapezium;
  Area of shape  = Area of semicircle + Area of trapezium
Now;
  Area of semicircle  = 
   Where r is the radius, which is  = 2cm;
 = 2cm;
    Area of semicircle  =  = 6.28cm²
   = 6.28cm²
Area of trapezium; 
         = 
 a and b are the base length = 6cm and 10cm
  h is the height = 4cm 
Input the parameters and solve; 
        =   
  
        = 32cm²
The area of the shape = 6.28cm² + 32cm² = 38.28cm²