First, STOP counting perforations.
Second, STOP trying to measure the image dimensions.
Third, pause until you obtain a real perforaton gauge.
It is extremely unlikely that your stamps have been altered in any way.
I agree with jogil, as the shade of both of your stamps is consistent with 632, which is also an extremely common stamp. It will be perf 11x10.5. In the absence of a perforation gauge, I would recommend using a stamp of KNOWN rate as a gauge. If you have a low value stamp from the presidential series of 1938, use it as a guide.
Add:
Using stamps of known rate as a gauge, here is a candidate Scott 632 along with Scott 804, and 805 from the presidentail series of 1938. The presidential stamps are perf 11x10.5 as noted before.
Looking at the two stamps at the left, the side perforations align (note the red lines), The 804 is perf 10.5 thus the candidate stamp is confirmed as a 632. No other measurements are needed.
Looking at the two right stamps, when the 805 is rotated, the alignment (green lines) at the bottom is correct, but is "off" by about half a hole near the top, which is about 20mm in span and a good indication of a gauge difference of 0.5 which is what the catalogs indicate.
