Answer:
D) 67.12cm.^2
Explanation:
To find the total area of this composite shape, we have to find the area of each individual shape first.
Let's take a look at the rectangle:
The area of a rectangle is L x B. Which is 6 x 3 = 18 cm.^2
Now the triangle:
The area of a triangle is 1/2BH. The base is 6 and the height is 8. The area is 24 cm.^2
Lastly, the semi-circle:
The area of a circle is pi*r^2. The radius is 8/2 because the 8 is the diameter and the radius is diameter/2. The area of a circle is 50.24, substituting 3.14 for pi. However, it's not over yet. We have to divide it by 2 because it's only a half-circle (this is the area of a whole circle). 50.24 / 2 is 25.12.
Now that we got the area of all the shapes, add them all together to find the area of this complex figure. 25.12 + 24 + 18 = 67.12