Answer:
38.28cm²
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 =
![(\pi r^(2) )/(2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/y6cy42jhm56xm2zn1gk792jrpnqd2kbu7s.png)
Where r is the radius, which is
= 2cm;
Area of semicircle =
= 6.28cm²
Area of trapezium;
=
![(1)/(2) (a + b)h](https://img.qammunity.org/2021/formulas/mathematics/college/xdtz34rf4c8vr0djgfjtdoqbrgukdh3gi3.png)
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