Answer:
The area of the figure is [tex]81\ m^{2}[/tex]
Step-by-step explanation:
we know that
The area of the figure is equal to the area of a parallelogram plus the area of a triangle
step 1
Find the area of parallelogram
[tex]A=bh[/tex]
we have
[tex]b=9\ m[/tex]
[tex]h=5\ m[/tex]
substitute
[tex]A=(9)(5)=45\ m^{2}[/tex]
step 2
Find the area of a triangle
[tex]A=(1/2)bh[/tex]
we have
[tex]b=9\ m[/tex]
[tex]h=8\ m[/tex]
substitute
[tex]A=(1/2)(9)(8)=36\ m^{2}[/tex]
step 3
Find the area of the figure
[tex]45\ m^{2}+36\ m^{2}=81\ m^{2}[/tex]
