Yes, it can be true that, shape of two geometrical shapes are different but, they have same area.
→For example , Consider a plot of land which is in the shape of Isosceles Triangle , having base length 8 cm and length of Perpendicular 4 units.Then Area of Triangle

→Now, Consider another plot of land which is in the shape of Square having side length 4 cm.
Then, Area of Square =Side × Side
=4×4
=16 square unit