Answer:
The area of the prism: 404 square feet.
Step-by-step explanation:
The idea in this exercise is to find the areas of all the geometric figures, and then add them all.
Notice that we have four consecutive rectangles, two smaller with dimension 6 ft by 8 ft and two larger with dimension 11 ft by 8 ft. Then, combined area of this four rectangles is
A_1 = 6*8 + 6*8 + 11*8+11*8 = 48+48+88+88 = 272.
For the other two rectangles, notice that their bases has the same length (11 ft). Their height can obtained using the characteristics of the prism. In this case must be 6 ft, the same length of the base of the previous smaller rectangles. The, the combined area of this rectangle is
A_2 = 6*11 +6*11 = 66 + 66 = 132.
Finally, adding those two area we get the area of the prism: 404 square feet.
