Answer:
See below.
Explanation:
TQ & UQ are 2 tangents from the same external point 'Q' and touches the same circle with centre 'W'.
Given,
UQ = 14 in
Then,
TQ = UQ = 14 in (tangents from same external points are equal to each other)
•°• TQ
= 14
= 7 × 2
=》x = 7 inch
___________
ST = SV = 17 in
Then,
RV
= RS - SV
= 27 - 17
= 10 in
RU = RV = 10 in
Perimeter:
= RS + RQ + SQ
= 27 + (14 + 10) + (14 + 17)
= 27 + 24 + 31
= 82 in
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Hope it helps ⚜