【Question 9】
Place the two types of shapes composed of unit squares (each of these shapes has an area of 3) into an $8 \times 14$ large rectangular grid, requiring that any two pieces of the shapes do not share any common points. Then, the maximum number of these two types of shapes that can be placed in the $8 \times 14$ large rectangular grid is $\qquad$.
In an $8 \times 14$ large rectangular grid, there are $9 \times 15=135$ grid points;
and whether it is a “$L$-shaped” or a “straight-line” triomino, each has 8 grid points; $135 \div 8=16 \cdots \cdots 7$;
thus, in an $8 \times 14$ large rectangular grid, the number of both types of shapes that can be placed does not exceed 16. On the other hand, an example of placing 16 can be constructed (the construction method is not unique).

In summary, in an $8 \times 14$ large rectangular grid, the maximum number of both types of shapes that can be placed is 16.