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What did I do wrong in this Endgame

I didn"t look at everything but you had mate in 1 move 88.

Edit : move 57 it was K+R vs K huh. I'm surprised you don"t know this basic mate. But well we have the same "elo" so who am I to talk ^^
88...Ra3 would have sealed the deal. You seem to be in a hurry to exchange pieces when you are on the attack. This just slows down your own attack and gives your opponent time to get back into the game.
Make some waiting moves with your rook!

You have accomplished the first part of the checkmate by pushing the opponent King to the edge in the move 75, but at this stage, your King have to be in front of the other King, but you were having some troubles because of the available squares, once you paired Kings, he could run out safely. The waiting move is the key to solve that, just push your rook to anywhere far from the king.

The move 76 was fine, you kept the King stuck, but then you spend too many moves with your King, I would play for example 77. Rb8 and then 78. Rb7, two waiting moves and now the King has no hope, my King will be placed in front of the opponent's one and the checkmate unavoidable. There are a lot of different lines using ranks and files, the point is the waiting moves you haven't used, check out how many times you moved the King and how many times the rook.
Best luck next time!

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