अन्वयः

स्वेन by his, कर्मणा by deeds, लोके among people, अगस्त्यः as Agastya, इति thus, विख्यातः wellknown, तस्य his, परिश्रान्तश्रमापहः place of rest for those who are tired with hard work, आश्रमः hermitage, दृश्यते is seen.

M N Dutt

This asylum capable of removing the fatigue of the weary, belonging to him that is known among men as Agastya by his own acts, is seen, with the (neighbouring woods) filled with smoke, and itself decorated with bark and wreaths, containing herds of mild deer, and ringing with the notes of various birds.

Summary

Here is the hermitage of Agastya, wellknown in the world for his deeds a place of rest for those tired with hard work.

पदच्छेदः

अगस्त्य	अगस्त्य (१.१)
इति	इति (अव्ययः)
विख्यातो	विख्यात (√वि-ख्या + क्त, १.१)
लोके	लोक (७.१)
स्वेनैव	स्व (३.१)–एव (अव्ययः)
कर्मणा	कर्मन् (३.१)
आश्रमो	आश्रम (१.१)
दृश्यते	दृश्यते (√दृश् प्र.पु. एक.)
तस्य	तद् (६.१)
परिश्रान्तश्रमापहः	परिश्रान्त (√परि-श्रम् + क्त)–श्रम–अपह (१.१)

छन्दः

अनुष्टुप् [८]

छन्दोविश्लेषणम्

१	२	३	४	५	६	७	८
अ	ग	स्त्य	इ	ति	वि	ख्या	तो
लो	के	स्वे	नै	व	क	र्म	णा
आ	श्र	मो	दृ	श्य	ते	त	स्य
प	रि	श्रा	न्त	श्र	मा	प	हः