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how did you find 4(root 3- 1) from above step please send the expansion of area of AFE
Asked by sankalpsamiti | 08 Feb, 2016, 04:00: PM
answered-by-expert Expert Answer
 
Solution by alternate simplified method which reduceses the complicate calculation.
 
 
 
 
 
Join space FE. increment CED space is space equilateral space triangle CE space equals ED space equals CD space equals 4 space cm height space equals space fraction numerator square root of 3 over denominator 2 end fraction cross times 4 equals 2 square root of 3 space cm FE space equals space 4 minus 2 square root of 3 AF space equals space 1 half cross times AB space equals space 2 cm In space increment AFE area space of space increment AFE space equals space 1 half cross times AF cross times FE space equals 1 half cross times 2 cross times open parentheses 4 minus 2 square root of 3 close parentheses equals 4 minus 2 square root of 3 space space cm squared In space quadrilateral space FBCE Area space of space quadrilateral space FBCE space equals fraction numerator open parentheses FE plus BC close parentheses over denominator 2 end fraction cross times FB equals fraction numerator open parentheses 4 minus 2 square root of 3 plus 4 close parentheses over denominator 2 end fraction cross times 2 equals 8 minus 2 square root of 3 space space space cm squared In space increment ABC area space of space increment ABC space equals space 1 half cross times AB cross times BC space equals 1 half cross times 4 cross times 4 equals 8 space space space space cm squared Area space of space increment AEC space equals space Area space of space increment ABC space minus Area space of space increment AFE minus Area space of space quadrilateral space FBCE equals space 8 minus open parentheses 4 minus 2 square root of 3 close parentheses minus open parentheses 8 minus 2 square root of 3 close parentheses equals 8 minus 4 minus 8 plus 2 square root of 3 plus 2 square root of 3 equals negative 4 plus 4 square root of 3 equals 4 open parentheses negative 1 plus square root of 3 close parentheses equals 4 open parentheses square root of 3 minus 1 close parentheses space cm squared
Answered by Vijaykumar Wani | 09 Feb, 2016, 10:33: AM

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