
weitläufig
spacious
Extending over a large area; very roomy or expansive.
Die Wohnung war überraschend hell und weitläufig.
The apartment was surprisingly bright and spacious.
spacious / distant / long-winded
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spacious
Extending over a large area; very roomy or expansive.
Die Wohnung war überraschend hell und weitläufig.
The apartment was surprisingly bright and spacious.

distant
Referring to a family relationship: not close, but separated by several degrees.
Er ist nur ein weitläufiger Verwandter von mir, den ich kaum kenne.
He is only a distant relative of mine, whom I barely know.

long-winded
Very detailed, cumbersome, or digressive.
Nach einer weitläufigen Einleitung kam er endlich zum Punkt.
After a long-winded introduction, he finally got to the point.
The word consists of 'weit' (wide/far) and '-läufig' (from 'laufen', to run/walk). The basic idea is something that extends or 'runs' far—whether it is a space, a family line, or a story.
Das Schloss ist von einem weitläufigen Park umgeben.
The castle is surrounded by a spacious park.
The meaning of 'weitläufig' (spacious/distant/long-winded) depends strongly on the noun. With places, it means 'spacious'; with people, 'distantly related'; and with language or texts, 'detailed' or 'long-winded'.
Die Hotelanlage ist sehr weitläufig.
The hotel complex is very spacious.
In its spatial meaning, 'weitläufig' (spacious) describes large, open areas. Typical nouns are 'Park' (park), 'Garten' (garden), 'Anwesen' (estate), 'Gelände' (grounds/site), or 'Flur' (hallway/corridor).
Das weitläufige Gelände des Festivals war schwer zu überblicken.
The spacious festival grounds were hard to take in.
This meaning is almost always used in the fixed combination 'weitläufig verwandt sein' (to be distantly related) to express a family relationship that is not close.
Wir sind nur weitläufig miteinander verwandt und treffen uns selten.
We are only distantly related and rarely meet.
detailed
Both words can describe a very long presentation. “Ausführlich” emphasizes a precise and helpful treatment containing many details, while “weitläufig” can also suggest that the presentation is cumbersome or digressive. “Ausführlich” is more suitable for a thorough explanation, while “weitläufig” is more suitable for a long presentation that takes a lot of detours.

Die Kursleiterin erklärte die Aufgabe weitläufig und kam erst spät zum wichtigsten Punkt.
The instructor gave a long-winded explanation of the task and did not get to the main point until late.
Die Kursleiterin erklärte die Aufgabe ausführlich und beantwortete alle Fragen.
The instructor explained the task in detail and answered all the questions.