Hi @ienesaglam60​ 

Did you try use the transformer LineonAreaOverlayer?

Thanks in Advance,

Danilo

Yes i try but I can't get what I want.Thank you

@ienesaglam60​ 

Coerce area to lines.

Snap your cutting lines to those (vertexsnapping in your example). Use polygon as anchor to keep polygon as is. (topologybuilder is also used for this as the later versions have tolerance)

Build area.

Please, could you send us your data sample?

Thanks in Advance,

Danilo

@ienesaglam60​ 

Hi here is an workbench

Using Topologybuileder or Interscetor.

Crucial is of course Snapping and snappingtypes. (depends on quality on the inputobjects. In my case i drew your examples in Inkscape so it was not topologicaly tight))

Grets.

a pic

attached sample dataset.

attached sample dataset.this ws I'm not sure if it's appropriate.

@ienesaglam60​ 

Hi, the same workbench but now with your sampe data.

Tolerances for snapping have been changed accordingly.

Workspace is attached.

Here is picture of result

This is awesome . Thank you so much.