Is Vermietung der, die or das?

The correct German article for Vermietung is die. The noun Vermietung is Feminine. So you always say: die Vermietung. Learn the article together with the noun — German nouns don't follow predictable gender rules most of the time.

The plural of Vermietung is: die Vermietungen. In the plural, every German noun takes the article "die". So: die Vermietungen. Example: ein Vermietung → zwei Vermietungen.

Correct: die Vermietungen. The form "die Vermietungs" is wrong. The plural of die Vermietung is die Vermietungen. In the nominative plural, you always use the article "die".

die Vermietung follows the four German cases. Nominative: die Vermietung, Accusative: die Vermietung, Dative: der Vermietung, Genitive: der Vermietung. In plural: die Vermietungen / den Vermietungen. Learn these forms together with the noun.

The genitive singular of die Vermietung is: der Vermietung. The genitive plural is der Vermietungen. German uses the genitive to express possession or belonging. Example: die Farbe der Vermietung.

The dative plural of Vermietung is: den Vermietungen. In German, dative plural nouns usually end in "-n". So you say: "mit den Vermietungen". Use this case after prepositions like mit, von, bei, zu.

Vermietung ends in -ung. German nouns with this ending are almost always feminine. Nouns ending in -ung are almost always feminine (die). That's why the article for Vermietung is die.

Vermietung is a noun and must be capitalized in German. You'll find example sentences above for each case. The article die stays the same in nominative singular but changes in other cases. Practice declension in your own sentences.

Yes, Vermietung is a noun (also called a substantive). German nouns are always capitalized. The article for Vermietung is die. Every German noun has a fixed article you must memorize.