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I want to create new polygons from the intersecting polygon and polylines shown in the images below. At the output, I need to get four polygons representing the polygons shown in the top image after the polylines are overlaid onto the main polygon.

Any thoughts on how I can do this, please?

enter image description here

enter image description here

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Use the "Split with lines" geoalgorithm.

Before:
input

After:
output

Afterwards the application of the "Remove null geometries" and "Delete duplicate geometries" geoalgorithms is recommended.

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