Origami Triangle

Geometry Level 3

I have a piece of square paper, which I fold in half diagonally and crease. Flattening the paper out again, I fold over one side so that the side lines up with this crease. I repeat this with the adjacent side, making a symmetrical kite shape. I then fold the triangle of remaining 'upwards' facing paper down to form one larger triangle. What is the area of this triangle divided by the area of the original square?

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