Breakdown of На даче мы нашли спокойствие и уединение.
и
and
мы
we
на
on, at / by (transport) / to (a place) / to (in answer to)
найти
to find
Questions & Answers about На даче мы нашли спокойствие и уединение.
Since this lesson focuses on в то время как, how could I use it to contrast this sentence with city life?
You could add a clause: В городе постоянный шум, в то время как на даче мы нашли спокойствие и уединение (In the city there is constant noise, whereas at the dacha we found peace and privacy). Here, в то время как acts as a conjunction of juxtaposition (meaning 'whereas') rather than just describing simultaneous actions.
The word уединение is translated as 'privacy' here. How does its root help explain its meaning?
It is built around the root един- (one/single), which you already know from words like один (one) and единственный (only). It literally refers to the state of being separated or alone, which maps perfectly to 'privacy', 'solitude', or 'seclusion' in English.
Why do both спокойствие and уединение keep their dictionary endings here?
They are the direct objects of нашли (we found), meaning they need to be in the Accusative case. Because they are inanimate neuter nouns ending in -ие, their Accusative form is identical to their Nominative (dictionary) form.
As a quick refresher, why is the preposition на used with дача instead of в?