Answer: 3060 ft^2
Step-by-step explanation:
We will calculate the surface area of the rectangular prism and the triangular prism separately and then subtract off the face that isn't on the surface.
For the rectangular prism:
SA= Ph + 2B
P = 36+36+10+10
P = 92
B = 36*10 = 360
SA = 92*20+2*360
SA = 1840+720
SA = 2560
We subtract off the face on the right of the rectangular prism because it isn't on the surface so we get 2560-200 = 2360
Now for the triangular prism:
SA= Ph + 2B
P = 15+20+25
P = 60
B = 15*20/2
B = 150
SA = 60*10+2*150
SA = 600+300
SA = 900
Again we subtract off the face on the left bescause it's not on the surface so we get 900-200 = 700
Therefore, the total surface area = 2360+700 = 3060 ft^2
