Answer:
[tex]67.5\ cm^{2}[/tex]
Step-by-step explanation:
we know that
The area of the figure is equal to the area of rectangle (figure 1) plus the area of trapezoid (figure 2)
see the attached figure to better understand the problem
The area of the rectangle is
[tex]A=15*3=45\ cm^{2}[/tex]
The area of the trapezoid is
[tex]A=\frac{1}{2}[(15-9)+3)](8-3)[/tex]
[tex]A=\frac{1}{2}[6+3)](5)=22.5\ cm^{2}[/tex]
The area of the figure is
[tex]45\ cm^{2}+22.5\ cm^{2}=67.5\ cm^{2}[/tex]
