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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;
Area of semicircle = = 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