Verb conjugation of "cuadrar" in Spanish

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After placing my luggage there I decided to walk into town and rent a bike. The neighbor of the guest house stopped me on the street and asked me if I was Mike. She told me that she was Luisa.
Some of the people had invited me for dinner and I joined them. I soon found out that they were eating at their apartment and were cooking by themselves. I found myself peeling raw potatoes.