Answer:
The surface area is [tex]SA=1,108\ in^{2}[/tex]
Step-by-step explanation:
we know that
The surface area of the composite figure is equal to
The lateral area of the rectangular prism plus the area of the base of the rectangular prism plus the area of the two triangular faces of triangular prism plus the area of two rectangular faces of the triangular prism
so
[tex]SA=2(12+20)(5)+(12)(20)+2[\frac{1}{2}(12)(9)]+2(20)(11)[/tex]
[tex]SA=320+240+108+440[/tex]
[tex]SA=1,108\ in^{2}[/tex]
