CBSE Class 8 Answered

in an auditorium number of rows is equal to the number of chair. In each row if the capacity of the auditorium is 9604 find the number of chairs in each raw

Asked by Manju | 08 Sep, 2015, 11:29: PM

Expert Answer

G i v e n space t h a t space t h e space n u m b e r space o f space r o w s space i n space a n space a u d i t o r i u m space i s space t h e space n u m b e r space o f space c h a i r s space i n space a space r o w. E x a m p l e colon space L e t space u s space a s s u m e space t h a t space t h e r e space a r e space 5 space c h a i r s space i n space a space r o w comma space t h e n space t h e r e space a r e space 5 space r o w s. T h u s comma space t h e space t o t a l space n u m b e r space o f space c h a i r s space i s space 5 cross times 5 equals 25 H e r e comma space i t space i s space g i v e n space t h a t space t h e r e space a r e space 9604 space c h a i r s. N o w space l e t space u s space a s s u m e space t h a t space t h e r e space a r e space n space c h a i r s space i n space a space r o w. F r o m space t h e space g i v e n space s t a t e m e n t space t h e r e space a r e space n space r o w s. T h e r e f o r e comma space t h e space t o t a l space n u m b e r space o f space c h a i r s equals n cross times n W e space n e e d space t o space f i n d space t h e space v a l u e space o f space apostrophe n apostrophe S i n c e space t h e space t o t a l space n u m b e r space o f space c h a i r s space g i v e n space equals 9604 comma space w e space h a v e comma n cross times n equals 9604 rightwards double arrow n squared equals 9604 rightwards double arrow n squared equals 2 cross times 2 cross times 7 cross times 7 cross times 7 cross times 7 rightwards double arrow n squared equals 2 squared cross times 7 to the power of 4 rightwards double arrow n equals square root of 2 squared cross times 7 to the power of 4 end root rightwards double arrow n equals open parentheses 2 squared cross times 7 to the power of 4 close parentheses to the power of 1 half end exponent rightwards double arrow n equals 2 to the power of 2 cross times 1 half end exponent cross times 7 to the power of 4 cross times 1 half end exponent rightwards double arrow n equals 2 to the power of 1 cross times 7 squared rightwards double arrow n equals 98 T h u s comma space t h e r e space a r e space 98 space r o w s space i n space t h e space a u d i t o r i u m space a n d space i n space e a c h space r o w space t h e r e space a r e space 98 space c h a i r s.

Answered by Vimala Ramamurthy | 09 Sep, 2015, 09:23: AM

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