Answer:
area of the trapezoid
[tex] \frac{1}{2} \times (10 + 16) \times 9 \\ 117 {in}^{2} [/tex]
area of the triangle
[tex] \frac{1}{2} \times 6 \times 8 \\ 24 {in}^{2} [/tex]
total area of the figure
24+117