Help the trapped airplane passenger politely wake their neighbor. Choose the correct phrase to complete the sentence.

"Excuse me, I'm so sorry to wake you, but _____ letting me squeeze past to use the restroom?"

The correct answer is would you mind.

Because the verb "letting" is in the gerund (-ing) form, we must use "would you mind." If the sentence used "could you" or "would you please," the verb would need to be in its base form ("let").