To find the area of a Canadian football field, you need to add the area of the American football field to the additional area specified:
- Area of the American football field = \( 6.4 \times 10^3 \) square yards.
- Additional area for the Canadian football field = 3,350 square yards.
First, we need to convert 3,350 square yards into scientific notation:
\( 3,350 = 3.35 \times 10^3 \) square yards.
Now, we can calculate the area of the Canadian football field:
\[ \text{Area of Canadian football field} = (6.4 \times 10^3) + (3.35 \times 10^3) \]
Combining these:
\[ = (6.4 + 3.35) \times 10^3 \] \[ = 9.75 \times 10^3 \text{ square yards} \]
Thus, the area of a Canadian football field in scientific notation to 2 decimal places is:
\[ \boxed{9.75 \times 10^3} \text{ square yards} \]