Dividing polygon into tiny polygons of particular size

I would like to divide/cut an irregular polygon into tiny polygons of a particular size(1.6m x 1m) in such a way that most of the irregular polygon area has to be utilized (an OPTIMIZATION MODEL)

The length and width of the polygon can be interchanged (either 1.6m X 1m (or) 1m X 1.6m)

So, in the end, I need to have as many polygons of size (1.6m X 1m) as possible.

I used the "Create Grid" feature but it just cuts the whole polygon in a particular fashion.

But what I also want is that here, a blue polygon can also be cut in a vertical manner(1m x 1.6m) too.

So, I would like to know where there is a plugin for this in QGIS/ArcGIS or any python script for this kind of polygon optimization?