Answer:
The area of the figure is [tex]137.5\ cm^{2}[/tex]
Step-by-step explanation:
we know that
The area of the figure is equal to the area of parallelogram plus the area of the triangle atop the parallelogram
Step 1
Find the area of parallelogram
The area of parallelogram is equal to
[tex]A=bh[/tex]
we have
[tex]b=11\ cm[/tex]
[tex]h=9\ cm[/tex]
substitute
[tex]A=11*9=99\ cm^{2}[/tex]
Step 2
Find the area of the triangle atop the parallelogram
The area of the triangle is equal to
[tex]A=\frac{1}{2}bh[/tex]
we have
[tex]b=11\ cm[/tex]
[tex]h=7\ cm[/tex]
substitute
[tex]A=\frac{1}{2}(11)(7)=38.5\ cm^{2}[/tex]
therefore
The area of the figure is equal to
[tex]99\ cm^{2}+38.5\ cm^{2}=137.5\ cm^{2}[/tex]
