This problem is about areas of shapes.
In this case, we have a flag and its pole. The flag is a triangle and the pole is a rectangle, and we want to know the area of the flag and the pole together.
First of all, the areas can add (sum), so the total area is the area of the flag plus the area of the pole.
Let's start with the pole:
![\begin{gathered} \text{The area of a rectangle is the base for the length, in this case we have:} \\ base=0.6\operatorname{cm} \\ \text{length}=8\operatorname{cm}+4\operatorname{cm}=12\operatorname{cm} \\ \text{area of pole =base}\cdot length=0.6\operatorname{cm}\cdot12\operatorname{cm}=12\cdot0.6\operatorname{cm} \\ \text{area of pole=7.2cm}^2 \end{gathered}]()
Now, with the flag:
![\begin{gathered} \text{The area of a triangle is base for height divided by 2, in this case:} \\ \text{base}=5.5\operatorname{cm} \\ height=4\operatorname{cm} \\ \text{area of flag=}(base\cdot height)/(2)=\frac{5.5\operatorname{cm}\cdot4\operatorname{cm}}{2}=(22)/(2)cm^2 \\ \text{area of flag=11cm}^2 \end{gathered}]()
Finally, the total area is the sum of the two areas: