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