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CBSE Class 8 Answered

The area of trapezium is 384m2 if the parellel sides are in the ratio 3:5 and perpendicular distance is 12 cm. find the length of each parellel side.
Asked by Omkar | 13 Feb, 2015, 05:36: PM
answered-by-expert Expert Answer
G i v e n space t h a t space a r e a space o f space t r a p e z i u m space i s space 384 space c m squared. A l s o space g i v e n space t h a t space t h e space p a r a l l e l space s i d e s space a r e space i n space t h e space r a t i o space 3 colon 5. T h u s space t h e space p a r a l l e l space s i d e s space a r e space 3 x space a n d space 5 x P e r p e n d i c u l a r space d i s tan c e space b e t w e e n space t h e space p a r a l l e l space s i d e s equals 12 space c m A r e a space o f space t h e space t r a p e z i u m equals fraction numerator S u m space o f space t h e space p a r a l l e l space s i d e s over denominator 2 end fraction cross times P e r p e n d i c u l a r space d i s tan c e space b e t w e e n space t h e space p a r a l l e l space s i d e s rightwards double arrow 384 equals fraction numerator 3 x plus 5 x over denominator 2 end fraction cross times 12 rightwards double arrow 384 equals 8 x cross times 6 rightwards double arrow x equals fraction numerator 384 over denominator 8 cross times 6 end fraction rightwards double arrow x equals 8 space c m 3 x equals 3 cross times 8 equals 24 space c m 5 x equals 5 cross times 8 equals 40 space c m T h u s space t h e space l e n g t h s space o f space p a r a l l e l space s i d e s space a r e comma space 24 space c m space a n d space 40 space c m space r e s p e c t i v e l y
Answered by Vimala Ramamurthy | 13 Feb, 2015, 10:28: PM

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