Answer:
[tex]40\ in^{2}[/tex]
Step-by-step explanation:
we know that
The area of the composite figure is equal to the area of a rectangle plus the area of a triangle
Find the area of the rectangle
[tex]A1=bh[/tex]
we have
[tex]b=5\ in\\h=7\ in[/tex]
substitute
[tex]A1=5*7=35\ in^{2}[/tex]
Find the area of the triangle
[tex]A2=bh/2[/tex]
we have
[tex]b=5-3=2\ in\\h=12-7=5\ in[/tex]
substitute
[tex]A2=2*5/2=5\ in^{2}[/tex]
Adds the areas
[tex]35\ in^{2}+5\ in^{2}=40\ in^{2}[/tex]
