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 = [tex]\frac{\pi r^{2} }{2}[/tex]
Where r is the radius, which is [tex]\frac{4}{2}[/tex] = 2cm;
Area of semicircle = [tex]\frac{3.142 x 2^{2} }{2}[/tex] = 6.28cm²
Area of trapezium;
= [tex]\frac{1}{2} (a + b)h[/tex]
a and b are the base length = 6cm and 10cm
h is the height = 4cm
Input the parameters and solve;
= [tex]\frac{1}{2} (6 + 10) 4[/tex]
= 32cm²
The area of the shape = 6.28cm² + 32cm² = 38.28cm²
