Is the word tapetes the same in Brazilian and European Portuguese?

Yes

The word "tapetes" is identical in spelling and meaning in both Brazilian and Continental Portuguese, referring to rugs or carpets. The only difference is the pronunciation. In Brazilian Portuguese, the final unstressed vowels are usually pronounced more clearly (the "es" often sounds like a soft "ee-s"). In Continental Portuguese, unstressed vowels undergo significant reduction; the final "es" is often shortened and swallowed, sounding much closer to a closed, whispered "sh" or a very short "s."

Brazilian Portuguese Examples

1. Eu comprei dois tapetes novos para a sala. (I bought two new rugs for the living room.)
2. Os tapetes estão muito sujos. (The rugs are very dirty.)
3. Eu estou limpando os tapetes da casa. (I am cleaning the rugs in the house.)
4. Tem uns tapetes bem coloridos no meu quarto. (There are some very colorful rugs in my room.)
5. Eu estou procurando tapetes de lã. (I am looking for wool rugs.)

Continental Portuguese Examples

1. Comprei dois tapetes novos para a sala. (I bought two new rugs for the living room.) Note: Portuguese speakers often omit the subject pronoun "Eu" when it is implied.
2. Os tapetes estão muito sujos. (The rugs are very dirty.)
3. Estou a limpar os tapetes da casa. (I am cleaning the rugs in the house.) Note: In Portugal, the "estou a + infinitive" construction is used instead of the Brazilian gerund.
4. Há uns tapetes muito coloridos no meu quarto. (There are some very colorful rugs in my room.) Note: While "tem" is used colloquially in Brazil to mean "there is/are," "há" is the natural/standard way to express this in Portugal.
5. Estou à procura de tapetes de lã. (I am looking for wool rugs.) Note: "À procura de" is a more natural idiomatic expression in Portugal than the Brazilian "procurando."