Answer
Two triangles with equal areas are not necessarily congruent. Two squares with equal areas must be congruent because the sides are congruent.
Work Step by Step
Given, Two triangles are having same areas, we need to find that the triangles are congruent or not.
Two triangles are not congruent, if two triangles having same areas than it is not necessarily that they are congruent.
Given, two square having same area, we need to find that the square are congruent or not.
Yes, two square having same area are congruent because the sides are congruent.