In the given figure PQ is parallel to SR AND SR is parallel to TU,PS is parallel to QT and ST is parallel to PU.Prove that :ar(STUL)=ar(PQRS).

Asked by abinash.gupta003 | 30th Jan, 2017, 11:20: AM

Expert Answer:

begin mathsize 16px style P a r a l l e log r a m s space S T U L space a n d space S T M P space a r e space o n space t h e space s a m e space b a s e space S T space
a n d space b e t w e e n space t h e space s a m e space p a r a l l e l s space S T space a n d space P U.
rightwards double arrow A r left parenthesis S T U L right parenthesis space equals space A r left parenthesis S T M P right parenthesis space space space space space space space space space.... left parenthesis 1 right parenthesis

P a r a l l e log r a m s space P Q R S space a n d space S T M P space a r e space o n space t h e space s a m e space b a s e space P S space
a n d space b e t w e e n space t h e space s a m e space p a r a l l e l s space P S space a n d space Q T.
rightwards double arrow A r left parenthesis P Q R S right parenthesis space equals space A r left parenthesis S T M P right parenthesis space space space space space space space space space.... left parenthesis 2 right parenthesis

F r o m space left parenthesis 1 right parenthesis space a n d space left parenthesis 2 right parenthesis comma space w e space h a v e
A r left parenthesis S T U L right parenthesis space equals space A r left parenthesis P Q R S right parenthesis end style

Answered by Rashmi Khot | 30th Jan, 2017, 02:03: PM

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