Asked by HRITICK RAJ | 10th Dec, 2014, 07:22: AM

Expert Answer:

F r o m space t h e space d i g r a m space w e space c a n space s e e space t h a t L e n g t h space o f space r e c tan g l e space equals space 20 minus left parenthesis 3.5 plus 3.5 right parenthesis equals 13 m B r e a d t h space o f space r e c tan g l e space equals space 7 space m R a d i u s space o f space s e m i c i r c l e space equals space 7 over 2 equals 3.5 space m   A r e a space o f space g a r d e n space equals A r e a space o f space s e m i c i r c l e space plus space A r e a space o f space r e c tan g l e plus A r e a space o f space s e m i c i r c l e equals πr squared over 2 plus l e n g t h cross times b r e a d t h plus πr squared over 2 equals fraction numerator 22 cross times 3.5 cross times 3.5 over denominator 7 cross times 2 end fraction plus 13 cross times 7 plus fraction numerator 22 cross times 3.5 cross times 3.5 over denominator 7 cross times 2 end fraction equals fraction numerator 22 cross times 3.5 cross times 3.5 over denominator 7 cross times 2 end fraction plus 13 cross times 7 plus fraction numerator 22 cross times 3.5 cross times 3.5 over denominator 7 cross times 2 end fraction equals 19.25 plus 91 plus 19.25 equals 129.5   T h e r e f o r e space a r e a space o f space g a r d e n space i s space 129.5 space m squared.   A s space w e space a r e space i n c l u d i n g space t h e space b r e d t h space o f space r e c tan g l e space i n space s e m i c i r l e space a n d space r e c tan g l e space b o t h space s o space w e space s h a l l space d i d u c t space i t space f r o m space t h e space w h o l e space p e r i m e t e r.  P e r i m e t e r space o f space g a r d e n equals P e r i m e t e r space o f space s e m i c i r c l e space plus space P e r i m e t e r space o f space r e c tan g l e plus P e r i m e t e r space o f space s e m i c i r c l e space minus space 2 cross times b r e a d t h equals fraction numerator 2 πr over denominator 2 end fraction plus 2 open parentheses l plus b close parentheses plus fraction numerator 2 πr over denominator 2 end fraction minus 2 cross times b equals fraction numerator 22 cross times 3.5 over denominator 7 end fraction plus 2 open parentheses 13 plus 7 close parentheses plus fraction numerator 22 cross times 3.5 over denominator 7 end fraction minus 2 cross times 7 equals 11 plus 40 plus 11 minus 14 equals 62 minus 14 equals 48 m

Answered by Vijaykumar Wani | 10th Dec, 2014, 10:38: AM