Do rectangles with 1-4 fixed-orientation rectangular corner cutout(s) have proper names?
Two example shapes with 3 and 2 cutouts, respectively:
I understand that they are polyrect-like, simple, concave polygons, but as a mathematical concept I assume the constrain here (rectangle with fixed-orientation rectangular corner cutout(s)) could have a more specific name. For reference, pentominos are a type of similar geometric figures that are named.
If there are separate names for the shapes with 1, 2, 3 or 4 cutouts, then I'm interested in those names.
If these shapes don't have proper names, is there a more succinct way to describe them than “rectangles with fixed-orientation rectangular corner cutout(s)”?
The characteristics of the shape is important for nesting problems.
(Yes, it's a very simple question, but I can't find the answer neither on Google nor Stack Exchange.)

There are no names in the literature for these particular shapes.
You can call them mutilated rectangles (as @GerryMyerson suggests) or name them utah0 (for ordinary rectangles through utah4 - utah1 is the map of Utah. There will be two kinds of utah2.