Answer: We need to find the area of the shaded region in the given figure:
This shaded region can be broken into three parts as follows:
We can find the area of each of these (1) (2) and (3) boxes and sum it all together to get the total area.
(1)
[tex]A_1=9m\times4m=36m^2[/tex]
(2)
[tex]A_2=(15+4)m\times(9-4)m=19m\times5m=95m^2[/tex]
(3)
[tex]A_3=4m\times(23-4-15)m=4m\times4m=16m^2[/tex]
Adding them together gives.
[tex]A_T=A_1+A_2+A_3=36m^2+95m^2+16m^2=147m^2[/tex]
Therefore:
[tex]A_{shaded}=147m^2[/tex]
