A plastic sheet is in the shape oftrapezium whose parallel sides are 90cm and 120cm.The non parallel sides are 40cm and 50cm.Find the area of plastic sheet.

Asked by M.s.srinidhi21 | 5th Aug, 2014, 08:52: PM

Expert Answer:

C o n s i d e r space t h e space f o l l o w i n g space f i g u r e.
H e r e r space A B C D space i s space t h e space g i v e n space p a r a l l e log r a m space w i t h space t h e space g i v e n space m e a s u r e m e n t s. L e t space u s space d r a w space a space l i n e space C E parallel to A D space w i t h space C E equals 40. N o w space triangle B C E space i s space a space r i g h t space t r i a n g l e space a s space t h e i r space s i d e s space a r e space p y t h a g o r e a n space t r i p l e t s space 30 comma 40 space a n d space 50 T h u s comma space square A E C D space i s space a space r e c tan g l e. T h u s comma space a r e a space o f space t h e space t r a p e z i u m space A B C D equals A R e a space o f space t h e space r e c tan g l e space A E C D plus A r e a space o f space t h e space r i g h t space t r i a n g l e space B C E rightwards double arrow space a r e a space o f space t h e space t r a p e z i u m space A B C D equals A E cross times C E plus 1 half cross times B E cross times C E rightwards double arrow space a r e a space o f space t h e space t r a p e z i u m space A B C D equals 90 cross times 40 plus 1 half cross times 30 cross times 40 rightwards double arrow space a r e a space o f space t h e space t r a p e z i u m space A B C D equals 3600 plus 600 rightwards double arrow space a r e a space o f space t h e space t r a p e z i u m space A B C D equals 4200 space c m squared

Answered by Vimala Ramamurthy | 6th Aug, 2014, 10:34: AM

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