Final answer:
Without additional information about the side lengths or the ratio of corresponding sides in the similar triangles LMN and XYZ, we cannot determine the length of side ZX from the perimeter of triangle XYZ alone.
Step-by-step explanation:
If triangle LMN is similar to triangle XYZ, and the perimeter of triangle XYZ is 144, to find the length of side ZX, we need additional information about the sides of either triangle or the ratio of their corresponding sides. Similar triangles have corresponding sides that are proportional and all their corresponding angles are equal. However, without knowing the lengths of the other sides of either triangle or the ratio between the corresponding sides of triangles LMN and XYZ, we cannot determine the length of side ZX based on the perimeter alone.
Therefore, with the given information where only the perimeter of triangle XYZ is provided, we cannot select the correct option for the length of side ZX.