When the length of a rectangle is reduced by 5cm and the width is increased by 12cm, it becomes a rectangle, and the perimeter of the rectangle is 100cm less than twice the perimeter of the original rectangle Calculate the length and width of the original rectangle (unit: cm)

Let the side length of a square be X
4X=4×（X+5）+4×（X-12）-100 X=32
Length 37
20 wide

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