Answer:
The area is 41.12 square units.
Step-by-step explanation:
From the given diagram we will count the number of units for the base, height and diameter/radius.
We can see that the base of the triangle is 8 units and height is 4 units.
So, area of triangle is given as = [tex]\frac{1}{2}\times base \times height[/tex]
= [tex]\frac{1}{2}\times8\times4=16[/tex] square units
Similarly, the base of the triangle forms the diameter of the semi circle. So, radius will be half the diameter or 4 units.
Area of a semi circle is given as = [tex]\frac{\pi r^{2} }{2}[/tex]
= [tex]\frac{3.14\times4\times4}{2}[/tex]
= 25.12 square units
Now, we will add both the area of triangle and semi circle to get the complete area of figure.
[tex]16+25.12=41.12[/tex] square units