We can divide the compound shape as shown below:
We have divided the shape into two triangles. Therefore, we can calculate the area of both triangles and add the answers together to get the area of the whole shape.
The formula to calculate the area of a triangle is given to be:
Area of Triangle 1:
![\begin{gathered} b=9\operatorname{cm} \\ h=6\operatorname{cm} \end{gathered}]()
Therefore, the area is:
![A_1=(1)/(2)*9*6=27\operatorname{cm}^2]()
Area of Triangle 2:
![\begin{gathered} b=3\operatorname{cm} \\ h=2\operatorname{cm} \end{gathered}]()
Therefore, the area is:
![A_2=(1)/(2)*3*2=3\operatorname{cm}^2]()
Area of the Shape:
![A=27+3=30\operatorname{cm}^2]()
The area of the shape is 30 cm².