DK-GEORGMOHR 2005 Problem 1
This figure is cut out from a sheet of paper. Folding the sides upwards along the dashed lines, one gets a (non-equilateral) pyramid with a square base. Calculate the area of the base.

Dataset text AI-MO AoPS. Quoted with source.
Official text: Georg Mohr Contest 2005 official paper, page 1.
Solutions
No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.
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