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I have a few thousand polygons, all of them with an area bigger than 15m2. Some of them can have quite 'strange'shapes, like being very long and very narrow. I need to identify those polygons that can FULLY contain within them at least one square of 1.25m per side. Is there any way to do this with ArcGIS Pro?

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Use the 'Minimum Bounding Geometry' in ArcGIS. Ensure you have checked the 'Add geometry characteristics as attributes to output'option. This option will add fields 'MBG_Length, and MBD_Width' to your output layer. Now check that the MBG_Length, and MBD_Width of each polygon are greater than 2.25 m.

If greater than 2.25m then the polygon can completely contain a square geometry of 2.25 sqm

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    These steps do not guarantee I can extract those polygons that can fully contain at least one square of X m2 (X equals 2.25 in my case). – Pitrako Junior Jan 29 '18 at 19:49

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