Answer:
86
Step-by-step explanation:
First, we find the area of each individual polygon:
Starting with C for the half circle:
[tex]C=\pi r^2\\C=\pi (3)^2\\C= 20\\[/tex]
Since it's a half circle, we divide the final product by 2:
[tex]C=20/2\\C=10[/tex]
Next, the trapezoid:
[tex]A=\frac{a+b}{2} h\\A=\frac{13+6}{2} (8)\\A=76[/tex]
Last, since we combined the triangle with the trapezoid, we add all the areas we've found to find the area of the entire shape:
[tex]76+10= 86[/tex]
Hope this helped! Have a good day.
