You could also hang the curtains so they hide the window trim.
Should painted door and window trim match.
Painting doors and trim different colors can be a good idea for you to try.
You could of course keep just the sashes white and then paint the white frame piece around the sashes to match the darker outer trim but this can void the warranty of the window so it s not an option for everyone.
It s unusual to paint trim the same color as the walls.
You should do what is most aesthetically pleasing to you.
However you need to know that one important thing that you always have to keep in mind before making a choice is that your choice is not merely about which color for the doors and which color for the trim.
If you prefer a sleeker seamless look or if the door is in an awkward place such as near a corner or at the end of a hallway paint it and its trim the same color as the walls.
I think you could do a smaller version of the door trim for the windows.
Interior designers traditionally consider the door as part of the interior trim which includes the baseboards and door and window casings.
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