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CBSE Class 9 Answered

a feild is in the shape of a trapezium whose parralel sides are 25m and 10m (m stands for meter) the non parallel sides are 14m and 13m. find the area of the field
Asked by Divyanshu Vats | 17 Sep, 2014, 01:52: PM
answered-by-expert Expert Answer
 
A r e a space o f space T r a p e z i u m space equals space A r e a space o f space l e f t space t r i a n g l e space plus thin space A r e a space o f space R i g h t space t r i a n g l e space plus thin space A r e a space o f space R e c t a n g l e space i n space b e t w e e n A r e a space o f space R e c t a n g l e space equals space 10 space cross times space c A r e a space o f space l e f t space t r i a n g l e space equals space 1 half cross times a cross times c A r e a space o f space r i g h t space t r i a n g l e space equals space 1 half cross times b cross times c F r o m space a b o v e space f i g u r e space i t space i s space c l e a r space t h a t comma space a space plus thin space b space plus thin space 10 space equals space 25 rightwards double arrow a space plus space b space equals space 15 A b o v e space f i g u r e space c a n space b e space r e p r e s e n t e d space a s space t w o space s e p a r a t e space f i g u r e s space b y space c o m b i n i n g space l e f t space a n d space r i g h t space t r a i n g l e s space a n d space r e c t a n g l e space a s space s e p a r a t e A r e a space o f space t r i a n g l e space c a n space b e space f o u n d space u sin g space H e r o n apostrophe s space f o r m u l a. 14 space plus thin space 13 space plus thin space 15 space equals space 42 2 s space equals space 42 s space equals space 21 A r e a space o f space t r i a n g l e space equals space square root of 21 open parentheses 21 minus 14 close parentheses open parentheses 21 minus 13 close parentheses open parentheses 21 minus 15 close parentheses end root equals 84 space m squared a l t e r n a t i v e l y space a r e a space o f space t r i a n g l e space equals space 1 half open parentheses b a s e close parentheses cross times open parentheses a l t i t u d e close parentheses equals 1 half cross times 15 cross times c fraction numerator 15 c over denominator 2 end fraction equals 84 c equals 168 over 15 equals 11.2 m A r e a space o f space r e c tan g l e equals 112 space m squared space A r e a space o f space t r a p e z i u m equals 112 plus 84 equals 196 space m squared space
Answered by Dharma Teja | 17 Sep, 2014, 06:57: PM

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