Answer:
The surface area of the composite figure is 1108 square inches.
Step-by-step explanation:
The surface area of the composite figure ([tex]A_{T}[/tex]) is equal to the sum of external faces of the rectangular and triangular prisms, all measured in square inches:
[tex]A_{T} = 20\,in \times 12\,in + 2\times 5\,in \times 12\,in + 2\times 20\,in \times 5\,in + 2\times 20\,in \times 11\,in + 2\times \frac{1}{2}\times 12\,in \times 9\,in[/tex]
[tex]A_{T} = 1108\,in^{2}[/tex]
The surface area of the composite figure is 1108 square inches.