Zarząd zarządza tą nieruchomością.

Because they are closely related.

• zarząd is a noun: management, board, administration
• zarządza is a verb form from zarządzać: manages / is managing

So this is similar to English patterns like:

• The board governs
• Management manages

It may sound a little repetitive, but it is completely normal grammatically.

Zarząd usually means some kind of managing body or management board.

Depending on context, it can mean things like:

• management
• the board
• the management board
• the administrative body

So in this sentence, zarząd is the group or entity responsible for managing the property.

It is:

• singular
• masculine in grammar
• in the nominative case, because it is the subject of the sentence

Zarządza is the:

• 3rd person singular
• present tense
• from the verb zarządzać

So it means:

• he manages
• she manages
• it manages

In this sentence, because the subject is zarząd, the natural English translation is something like the board manages or the management manages/administers.

Because the verb zarządzać requires the instrumental case.

So after zarządzać, the thing being managed is not in the accusative, but in the instrumental.

That is why:

• ta nieruchomość = this property (dictionary/basic form)
• tą nieruchomością = this property in the instrumental case

This is something English speakers often have to get used to: in Polish, different verbs require different cases.

A useful pattern is:

• zarządzać kimś / czymś = to manage someone / something

Nieruchomością is the instrumental singular form of nieruchomość.

Basic form:

• nieruchomość = property / real estate

Instrumental singular:

• nieruchomością

This noun is:

• feminine
• singular

The ending -ą is a very common instrumental singular ending for feminine nouns and adjectives/pronouns agreeing with them.

So:

• ta nieruchomość → nominative
• tą nieruchomością → instrumental

Good question. Tę is the accusative form, while tą is the instrumental form.

For feminine singular ta:

• ta = nominative
• tę = accusative
• tą = instrumental

Since zarządzać takes the instrumental, tą is the correct form here.

So:

• Widzę tę nieruchomość. = I see this property.
  (accusative after widzieć)
• Zarząd zarządza tą nieruchomością. = The board manages this property.
  (instrumental after zarządzać)

Yes, that is the normal pattern.

You learn it as:

• zarządzać kimś / czymś

Examples:

• zarządzać firmą = to manage a company
• zarządzać zespołem = to manage a team
• zarządzać budynkiem = to manage a building
• zarządzać nieruchomością = to manage a property

So in your sentence:

• zarządza tą nieruchomością

is exactly what we expect grammatically.

Yes. Polish word order is more flexible than English word order.

The neutral order here is:

• Zarząd zarządza tą nieruchomością.

But other orders are possible, for example:

• Tą nieruchomością zarządza zarząd.

This might be used if you want to emphasize this property.

Still, the original sentence is the most straightforward and neutral.

It is grammatically correct and understandable, but it can sound a bit repetitive because both words come from the same root.

Polish does allow this, and you will definitely see similar constructions. But stylistically, a writer might sometimes avoid repetition.

Possible alternatives, depending on context, could include verbs like:

• administruje = administers
• kieruje = directs/runs
• sprawuje zarząd nad... = exercises management over...

Still, Zarząd zarządza tą nieruchomością is perfectly fine as a normal grammar example.

The main thing to notice is the nasal vowel ą.

Very roughly:

• tą sounds somewhat like towng said quickly, but not exactly
• nieruchomością ends with another ą, also nasal

A rough pronunciation guide:

• Zarząd → ZAH-zhont
• zarządza → zah-ZHON-dzha
• tą nieruchomością → ton nyeh-roo-hoh-MOH-shchon

A few notes:

• rz usually sounds like zh as in measure
• dz is like the ds sound in beds, but here it is part of dza
• final ą is often pronounced somewhat like om/on before pauses or depending on speech habits

This is only approximate, but it helps as a starting point.

Zarządzać is an imperfective verb.

That means it usually refers to:

• an ongoing activity
• a repeated activity
• a general state or function

So this sentence suggests something like:

• the board is responsible for managing the property
• the board manages the property as an ongoing matter

That fits well with how management normally works.

Be careful, because the related perfective verb is not always used the way an English speaker might expect. In many contexts, zarządzić more often means to order or to decree, not simply to finish managing.

So for manage/administer, zarządzać is the key verb to remember.

Here are the dictionary forms:

• Zarząd → zarząd
• zarządza → zarządzać
• tą → ta
• nieruchomością → nieruchomość

So the sentence is built from:

• zarząd = management / board
• zarządzać = to manage
• ta = this
• nieruchomość = property / real estate

This is a very useful habit in Polish: when you see an inflected form, try to identify its dictionary form and case/tense.