90 sq in
Step-by-step explanation:
The total area in the figure can be divided into two areas.
The [tex]area_{rectangle}[/tex] is the area of the [tex]8\times 10[/tex] rectangle.
The [tex]area_{triangle}[/tex] is the area of the adjacent triangle to the rectangle.
[tex]area_{rectangle}=length\times breath=10\times 8=80[/tex]
[tex]area_{triangle}=\frac{1}{2}\times base \times height=\frac{1}{2}\times 4\times 5=10[/tex]
Total area=[tex]area_{rectangle}+area_{triangle}=[/tex]90
