Twin Paper Folding

Geometry Level 3

Twins Tweedledee and Tweedledum are given a rectangular piece of paper of the same size.
They each fold their paper in half, parallel to one of the sides.
Tweedledee calculates that the perimeter of his rectangle is 40.
Tweedledum calculates that the perimeter of his rectangle is 50.

What is the perimeter of the original piece of paper?

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