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CBSE Class 10 Answered

Please solve this question 
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Asked by vikasg13.hardware | 30 Jun, 2018, 06:50: AM
answered-by-expert Expert Answer
begin mathsize 16px style straight A left parenthesis increment AED right parenthesis equals 1 half straight x open parentheses straight y minus straight a close parentheses equals 25
xy minus ax equals 50....... left parenthesis straight I right parenthesis
straight A left parenthesis increment CFE right parenthesis equals 9
1 half straight a cross times straight b equals 9
ab equals 18......... left parenthesis II right parenthesis
straight A left parenthesis ABF right parenthesis equals 16
1 half open parentheses straight x minus straight b close parentheses straight y equals 16
xy minus by equals 32......... left parenthesis III right parenthesis
fraction numerator xy minus 50 over denominator straight x end fraction equals straight a space space space space space space space from space left parenthesis straight I right parenthesis......... left parenthesis IV right parenthesis
fraction numerator xy minus 32 over denominator straight y end fraction equals straight b....... from space left parenthesis III right parenthesis..... left parenthesis straight V right parenthesis
Using space the space values space of space straight a space and space straight b space in space left parenthesis II right parenthesis space
fraction numerator xy minus 50 over denominator straight x end fraction cross times fraction numerator xy minus 32 over denominator straight y end fraction equals 18
open parentheses xy minus 50 close parentheses open parentheses xy minus 32 close parentheses equals 18 xy
Let space xy equals straight m
Solve space it space further space then space straight m space equals space 20 space or space 80
straight m space equals space xy space equals space 20 space or space 80
As space xy space can space not space be space 20
Hence comma space xy space equals space 80
Area space of space increment AFE equals 80 space minus space left parenthesis 16 space plus space 9 space plus space 25 right parenthesis space equals space 30 space sq. space units
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Answered by Sneha shidid | 02 Jul, 2018, 10:23: AM
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