Answer:
128.52
Step-by-step explanation:
Find the area of the figure by splitting it into two shapes - a trapezoid and a semi-circle.
The area of a semi-circle is found using A = 1/2πr² where r = 6 since the diameter is 12. A = 1/2π(6)² = 56.52.
The area of the trapezoid is found using A = 1/2(a+b)h = 1/2(12 + 6)(8) = 72.
Together the area is 56.52 + 72 = 128.52.