Alla fine abbiamo finito per cenare in terrazza, perché la cucina era troppo calda.

Alla fine usually means in the end, eventually, or after all.

In this sentence, it introduces the final outcome: Alla fine abbiamo finito per cenare in terrazza = In the end, we ended up having dinner on the terrace.

A useful comparison:

• alla fine = in the end / eventually
• finalmente = finally, often with a feeling of relief
• infine = finally / lastly, often used in more formal writing or when listing points

So here alla fine is the most natural choice for the final result of the situation.

This is a very common Italian structure:

finire per + infinitive

It means:

• to end up doing something
• to wind up doing something

So:

• abbiamo finito per cenare in terrazza = we ended up having dinner on the terrace

It does not literally mean we finished in order to have dinner.
Here finire per is an idiomatic expression meaning that, after some circumstances or changes, that is what happened in the end.

Other examples:

• Ha finito per accettare. = He ended up accepting.
• Ho finito per credergli. = I ended up believing him.

It may feel repetitive in English, but in Italian it sounds normal.

The two parts do different jobs:

• alla fine = in the end
• finire per + infinitive = to end up doing

So the sentence has a kind of double eventually / in the end feeling:

• Alla fine abbiamo finito per cenare in terrazza

This is natural Italian and emphasizes that this was the eventual outcome.

That said, you could simplify it:

• Alla fine abbiamo cenato in terrazza...
• Abbiamo finito per cenare in terrazza...

Both are possible, but the original just adds a bit more emphasis.

Cenare is the verb to have dinner / to dine.

So:

• cenare = to have dinner
• pranzare = to have lunch

Italian often uses these verbs where English uses have + meal:

• fare colazione = to have breakfast
• pranzare = to have lunch
• cenare = to have dinner

You could say mangiare, but that just means to eat, which is less specific.

• Abbiamo mangiato in terrazza = We ate on the terrace
• Abbiamo cenato in terrazza = We had dinner on the terrace

The second one is more precise.

In Italian, in terrazza is the normal way to say on the terrace when you mean there, in that space / area.

Italian often uses in where English uses on for places conceived as areas or environments:

• in terrazza = on the terrace
• in giardino = in the garden
• in cucina = in the kitchen

Sulla terrazza is possible, but it sounds more physical or literal, as if you are emphasizing being on top of the terrace surface rather than simply being there as a location.

So in this sentence, in terrazza is the most natural choice.

Both are possible, but they are slightly different in focus.

• la cucina era troppo calda = the kitchen was too hot
  • focus on the room itself
• faceva troppo caldo in cucina = it was too hot in the kitchen
  • focus on the temperature/atmosphere

In everyday Italian, many speakers might actually prefer:

• ...perché in cucina faceva troppo caldo.

That can sound a bit more natural in conversation, because Italian often uses fare caldo to talk about heat in a place.

But the original sentence is still perfectly correct.

Era is the imperfetto of essere.

It is used here because the heat of the kitchen is background information or a continuing situation that explains why they ate on the terrace.

So the sentence has:

• abbiamo finito / cenare = main completed event
• era troppo calda = ongoing condition in the background

This is a classic use of the imperfect in Italian:

• completed action in the past → often passato prossimo
• description, condition, background, cause → often imperfetto

So:

• la cucina era troppo calda = the kitchen was too hot

Using è stata troppo calda would sound more like you are treating the heat as a completed, bounded event, which is less natural here.

Because calda agrees with la cucina, which is feminine singular.

• la cucina = feminine singular
• therefore the adjective must also be feminine singular:
  • calda

Examples:

• Il soggiorno era troppo caldo.
• La cucina era troppo calda.
• Le stanze erano troppo calde.

So this is simple adjective agreement.

It can mean either in Italian, depending on context:

• la cucina = the kitchen
• la cucina italiana = Italian cuisine / cooking

In this sentence, it clearly means the kitchen, because it is described as too hot, and that is why they chose to eat on the terrace.

So here:

• la cucina era troppo calda = the kitchen was too hot

Perché here means because and introduces the reason:

• ...perché la cucina era troppo calda = ...because the kitchen was too hot

It is the most straightforward and common choice.

Other possibilities exist, but they change the tone a little:

• siccome la cucina era troppo calda, ... = since the kitchen was too hot, ...
• dato che la cucina era troppo calda, ... = given that / since the kitchen was too hot, ...

But perché is the most neutral and common option in everyday Italian.

Abbiamo finito is passato prossimo, and here it marks the main event as a completed action in the past.

Even though finire per + infinitive is idiomatic, the tense still works normally:

• abbiamo finito per cenare = we ended up having dinner

Why not the others?

• finivamo per cenare would suggest something habitual or repeated, like we would end up having dinner...
• avevamo finito per cenare would be past perfect and would need another later past reference point

So abbiamo finito per cenare is the natural tense for a single completed event.

Yes. A simpler version would be:

Alla fine abbiamo cenato in terrazza, perché la cucina era troppo calda.

That means almost the same thing:

• In the end we had dinner on the terrace, because the kitchen was too hot.

The original version with abbiamo finito per cenare adds the nuance of:

• this was not necessarily the original plan
• this is what they ended up doing

So:

• abbiamo cenato = we had dinner
• abbiamo finito per cenare = we ended up having dinner

The second version is a bit more expressive.