We can calculate the area of the shaded region as the difference between the area of the rectangle (sides 12 cm and 10 cm) and the area of the triangle in the corner.
The triangle has base of b=12-8=4 cm and height h=10-6=4 cm.
Then, we can calculate the area of the shaded area as:
![\begin{gathered} A=A_r-A_t \\ A=b_r\cdot h_r-(b_t\cdot h_t)/(2) \\ A=12\cdot10-(4\cdot4)/(2) \\ A=120-(16)/(2) \\ A=120-8 \\ A=112\operatorname{cm}^2 \end{gathered}]()
Answer: 112 cm^2