To find the area of the figure, we divide it into two rectangles as follows:
And we find the area of each rectangle, which is given by:
[tex]\begin{gathered} A=b\cdot h \\ \text{where b = base and h = height} \end{gathered}[/tex]
Area rectangle 1:
[tex]A=3\cdot10=30m^2[/tex]
Area rectangle 2:
[tex]A=4\cdot6=24m^2[/tex]
Therefore, the shaded area of the diagram is:
[tex]A=30+24=54m^2[/tex]
Answer: 54 m^2
