Wir kennen dieses Gebiet gut.

German often makes a distinction that English does not:

• kennen = to know a person, place, book, song, or something you are familiar with
• wissen = to know a fact, piece of information, or answer

So:

• Wir kennen dieses Gebiet gut. = We are familiar with this area/region well.
• Wir wissen, wo dieses Gebiet liegt. = We know where this area is located.

Because Gebiet is a thing/place you are familiar with, kennen is the natural verb here.

Dieses Gebiet is in the accusative case because it is the direct object of kennen.

In the sentence:

• Wir = subject
• kennen = verb
• dieses Gebiet = direct object
• gut = adverb

So the structure is:

• We know this area well.

Since Gebiet is neuter singular, the accusative form of dieser is dieses.

That is why you get:

• nominative: dieses Gebiet
• accusative: dieses Gebiet

For neuter singular, nominative and accusative look the same here.

Because Gebiet is a neuter noun: das Gebiet.

The demonstrative dieser changes depending on gender and case:

• masculine: dieser
• feminine: diese
• neuter: dieses

So:

• dieser Mann = this man
• diese Frau = this woman
• dieses Gebiet = this area

Since Gebiet is neuter, dieses is the correct form.

Gebiet usually means area, region, territory, or field/domain, depending on context.

Common meanings include:

• a physical area or region
  
  • ein ländliches Gebiet = a rural area
• a territory or zone
  
  • geschütztes Gebiet = protected area
• a field of knowledge or specialization
  
  • auf diesem Gebiet = in this field

In Wir kennen dieses Gebiet gut, the most likely meaning is a physical area or region, but context decides.

Here gut is an adverb meaning well, and it describes how we know the area.

German often places this kind of adverb after the object:

• Wir kennen dieses Gebiet gut.

This is a very natural word order.

Compare:

• Wir kennen dieses Gebiet gut. = neutral and natural
• Wir kennen gut dieses Gebiet. = possible only in special contexts, but not the normal choice

So the sentence order is standard and idiomatic.

Because gut is being used as an adverb, not as an adjective before a noun.

Compare:

• ein gutes Gebiet = a good area
  Here gutes is an adjective before a noun, so it takes an ending.
• Wir kennen dieses Gebiet gut. = We know this area well.
  Here gut describes the verb kennen, so it is an adverb and does not take an ending.

In German, many adverbs look the same as the basic adjective form.

In this sentence, it means both in a practical sense, but be familiar with is often the best explanation.

So Wir kennen dieses Gebiet gut suggests:

• we are familiar with this area
• we know it well
• we know our way around there / understand it well

It usually implies experience or familiarity, not just factual knowledge.

No, that would not be correct standard German.

Wissen normally does not take a direct object like Gebiet in this meaning. It is used more with:

• clauses: Wir wissen, dass ...
• question words: Wir wissen, wo ...
• fixed expressions: Ich weiß die Antwort.

So for familiarity with a place, use kennen:

• Wir kennen dieses Gebiet gut.

A simple learner-friendly pronunciation is roughly:

• geh-BEET

More accurately in standard German, the stress is on the second syllable:

• Ge-BIET

A few useful notes:

• Ge- is usually pronounced like geh
• ie in German is pronounced like long ee
• the final t is clearly pronounced

So the whole sentence sounds roughly like:

• Veer KEN-nen DEE-zes geh-BEET goot

That is only an approximation for English speakers, but it is a helpful start.

Grammatically, kennen here is present tense:

• wir kennen = we know / we are familiar with

But like the English present tense, it can express a general ongoing state, not just something happening right now.

So Wir kennen dieses Gebiet gut usually means:

• we know this area well
• we are familiar with this area in general

It does not usually mean a temporary action happening at this moment.

Yes. The most natural way is:

• Wir kennen dieses Gebiet sehr gut.

Here sehr strengthens gut:

• gut = well
• sehr gut = very well

That is probably the most common natural expansion of the sentence.