The area of a square is calculated as the length of one side squared. In this case, the square has sides that are 5 units in length. The translation of the square (moving it 7 units to the left and 10 units up) does not change its size or shape; it only changes its position.
The area of the square is:
\[ \text{Area} = \text{side}^2 = 5^2 = 25 \text{ square units} \]
Therefore, the area of the translated square remains 25 square units.