Yes, possible, although the temporal relations regarding the two actions expressed in your sentence are poorly defined . 1. While she was baking a pie, her children played in the garden 2.
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AnonymousWhile she was baking a pie, her children played in the garden.The sentence is correct, but it doesn't mean what you think it means.
It would mean that her childen started and finished playing while she was still baking.
Inchoateknowledge1. While she was baking a pie, her children played in the garden
2. While she was out [shopping/ walking her dog] , someone called.InchoateknowledgeWhile #2 is obvious (the act of calling is momentary), in #1 we do not know which lasted longer: the playing or the baking.I
AnonymousI do agree that the beginning of the actions is not stated, but why does the same hold true for the ending? We use the past simple for finished actions, don't we?We also use the past for on-going activities. The word while forces this interpretation when a non-punctual verb like play is used, so no ending is implied.
Anonymouswhat is the principal difference between this sentence and the one below?None. No difference. The fact that this is a construction with "while" more or less neutralizes the difference between simple and continuous that might be seen in other contexts.
While mother was baking a pie, the children were playing in the garden.