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A right triangle of base 8 cm and height 15 cm is added to a rectangle of length 16 cm and breadth 2 cm. Find the total area of the shape and also find whether the area of the rectangle remains the same or increases after adding a right triangle to it.

Area of the rectangle = sq. \ cm.
The total area of the given shape is sq. \ cm.
Choose the correct statement for the given problem.