Transformation of a polygon to a square

The transformations described so far show easily how to transform a polygon into a square of the same area. Initially we decompose the polygon into triangles and we transform each one of these into rectangle:

Next we transform each one of the rectangles into a square:

Finally we transform each two squares into a square, until arriving at an only square with area equal to the sum of the areas of the initial squares:

The square obtained at the end has area equal to thearea of the initial polygon, since all the transformations had been made preserving the areas.

Equidecomposition of two polygons
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