Created attachment 86948 [details]
file for testing the issue

SUMMARY:
Issue 56110 ("Measurement Units incorrect") is related to
incorrect measurement unit, imperial one, in the ImageMap Editor.
Same defect occurs in the Contour Editor. Opening and closing
the Picture dialog "updates" the measurement unit employed
in the Contour Editor (and in the ImageMap Editor too).

Attached to this report is AOO Writer test file with one image.
Configuration is metric: "Centimeter" unit
(menu 'Tools > Options > OpenOffice Writer > General, section 'Settings'')


Steps to demonstrate:
1. launch AOO Writer
2. select image
3. from context menu choose "Wrap > Edit Contour" item
   "Contour Editor" dialog appears.
   In gray area at the bottom of dialog there are
   two pairs of numbers shown i.e.
   mouse pointer coordinates (X/Y) and size of the picture (W/H).
   Unit of measurement is "inch".
4. close "Contour Editor" dialog
5. from context menu choose "Picture" item
   "Picture" dialog appears.
6. close "Picture" dialog
7. from context menu choose "Wrap > Edit Contour" item
   "Contour Editor" dialog appears.
   Now unit of measurement shown is "cm".

Related screenshots are in the attached file "CE_Units".


    
Note:
issue also observed in AOO 4.2.0-dev