Here is the item:
If Della had not __________ the leaky take-out container of moo goo gai pan on the top shelf of the refrigerator, she would not have had to mop up the ooze that dripped over four shelves of food.

Della placed the take-out container on the top shelf. Thus, you need a form of lay. Since the sentence has the auxiliary verb had, you need the past participle.

You chose the correct form from the table below. Good job!

Infinitive Definition Simple
Present
Simple
Past
Past
Participle
Present
Participle
to lay to put something down lay(s) laid laid laying
to lie to rest or recline lie(s) lay lain lying

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