When a triangle is translated, its size and shape do not change; only its position in the coordinate plane changes. Therefore, the length of side XY will remain the same after the translation.
Since the length of side \( XY \) is 10 units, the length of side \( X'Y' \) after the translation will also be 10 units.
So, the length of side \( X'Y' \) is 10 units.