
die Strecke
distance
A defined route or distance between two points that is covered.
Die Strecke von hier zum Bahnhof beträgt etwa zwei Kilometer.
The distance from here to the train station is about two kilometers.
route / distance
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distance
A defined route or distance between two points that is covered.
Die Strecke von hier zum Bahnhof beträgt etwa zwei Kilometer.
The distance from here to the train station is about two kilometers.

section / route
A specific section of a path, railway line, road, or river.
Auf dieser Strecke der Autobahn gibt es eine Geschwindigkeitsbegrenzung.
On this section of the highway, there is a speed limit.

to fall by the wayside
To fail, give up, or be unable to keep up with something; also: to die.
Viele gute Ideen sind bei der Umsetzung auf der Strecke geblieben.
Many good ideas fell by the wayside during implementation.

bag
In hunting language, the total number of animals killed during a hunt.
Nach der Treibjagd wurde die Strecke feierlich auf dem Hofplatz gelegt.
After the driven hunt, the bag was ceremonially laid out in the courtyard.
The noun 'die Strecke' (route/distance) is related to the verb 'strecken' (to stretch). Figuratively speaking, a Strecke is a 'stretched' path from one point to another.
Die Katze streckte sich genüsslich in der Sonne.
The cat stretched itself contentedly in the sun.
'Strecke' is often combined with verbs of movement. Typical phrases are 'eine Strecke zurücklegen' (to cover a distance), 'eine Strecke fahren' (to travel/drive a route), or 'eine Strecke laufen' (to run/walk a distance).
Für den Marathon müssen die Läufer eine Strecke von über 42 Kilometern zurücklegen.
For the marathon, the runners have to cover a distance of over 42 kilometers.
The idiom 'auf der Strecke bleiben' is a fixed unit. Metaphorically, it means that someone or something fails, gives up, or can no longer keep up.
Bei der schnellen Entwicklung des Projekts sind einige ursprüngliche Ziele auf der Strecke geblieben.
During the rapid development of the project, some original goals fell by the wayside.
This meaning of 'Strecke' is a technical term from hunting language. Outside the topic of hunting, you will hardly hear or read this meaning.
Am Ende der Jagd legten die Jäger die Strecke.
At the end of the hunt, the hunters laid out the bag.
piece
Both a Stück and a Strecke can refer to a part of a journey between two places. Strecke refers to the route or distance as a clearly defined quantity, while Stück refers only to an unspecified part of it. Use Strecke for the entire defined route and Stück for any part of it.

Wir sind die Strecke vom Bahnhof bis zum See zu Fuß gegangen.
We walked the route from the train station to the lake.
Wir sind schon ein gutes Stück des Weges zu Fuß gegangen.
We have already walked a good stretch of the way.