The area of a square is calculated using the formula:
\[ \text{Area} = \text{side length} \times \text{side length} \]
In this case, the side length of the square is 5 units. Thus, the area of the original square is:
\[ \text{Area} = 5 \times 5 = 25 \text{ square units} \]
When the square is translated (moved) 7 units to the left and 10 units up, its position changes, but its size remains the same. Therefore, the area of the translated square is still:
\[ 25 \text{ square units} \]
Thus, the answer is:
25 square units