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This is indeed an old question but as QGIS evolve (as answering latest is 3.12.2) new answer may be in order... For the first part of the question you may try the Rectanglify plugin that claim to do exactly that (I didn't try it). For the second part of the question (how can I improve my polygon-drawing to make sure that every building consists of ...


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This is an old question, but in QGIS 3.X you can use the geoprocessing tool "Orthogonalize." It allows you to set tolerances for angles to be converted to right angles or straight lines, so it's a more customizable and precise solution than the minimum bounding box, which is always and necessarily going to be larger than the input polygons.


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