If this cat is a gentleman, he can wear a tie, same as boots and a hat. http://www.imdb.com/title/tt0448694/mediaviewer/rm3833511168, https://cz.depositphotos.com/143720833/stock-photo-cat-in-striped-tie.html
It's not about the cat. It's about the structure of the sentence. This sentence teaches about possession. By learning the principle, you'll be able to say that about your brother, for example: לאחי יש עשר עניבות - My brother has ten ties. Duolingo uses these kinds of silly and nonsensical sentences to make the learning less boring.