The surface area of the complex figure is: 582 ft².
What is the Surface Area of the Complex Figure?
Surface area of the complex figure = surface area of the triangular prism + surface area of the rectangular prism - 2(area of the face of the triangular prism that joins with the rectangular prism).
Surface area of the triangular prism = (s1 + s2 + s3)L + bh = (11 + 9 + 9)5 + (11)(7)
Area of the triangular prism = 222 ft²
Surface area of the rectangular prism = 2(wl+hl+hw) = 2·(5·15+8·15+8·5) = 470 ft².
2(area of the face of the triangular prism that joins with the rectangular prism) = 2(lw) = 2(11)(5) = 110 ft²
Surface area of the complex figure = 222 + 470 - 110
Surface area of the complex figure = 582 ft².
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