what is area of a paper , if I peel it into 2 separate parts

Question

If I have a paper which has a height of 5 cm and base of 10 cm , then the area must be :

Area of a rectangle = base * height so ,

5*10 = 50 cm² , should be the answer to this right ,

But what is the area of the paper when I peel the paper from side and have another paper from the same paper , ( as u can do it with wet paper etc )

Now u have another paper of the same size , so the area of both paper must be 100cm² right ?

But before we said that the area of first paper is 50cm² ,

And I did not go and get a new another paper ,

So technically I m diving the paper in half by peeling it ,

So how can that increase the araa of my paper .

Answer 1

So, on a 2D object, you can fit so many 1-cm squares across and so many up and down. We can count them individually and get 50 in your case, or count how many are in one row and multiply that by the number of columns, or vice versa, and get the area.

If you peel the piece of paper, you now have two 2D surfaces with the same area, therefore doubling your area. I can fit 50 squares on one and 50 squares on the other.

Answer 2

The area has not changed.

You have the area of the smaller paper and then the area of the peels