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CBSE Class 9 Answered

The cost of preparing the walls of a room 12 m long @ Rs 1.35 m2 is Rs 340.20 and the cost of matting the floor at 85 p  per m2 is Rs 91.80 , find the height of the room ?
Asked by nisha_vini29 | 16 Feb, 2016, 12:00: PM
answered-by-expert Expert Answer
begin mathsize 14px style Let space straight l space be space the space length comma space straight b space the space breadth space and space straight h space be space the space height space of space the space room Length space of space room space equals space 12 space straight m space Cost space of space matting space the space floor space a t space 85 space p divided by m squared comma space i. e. comma space a t space R s. space 0.85 space divided by m squared equals space Rs.91.80 space Area space of space floor space equals cost space of space matting space the space floor divided by cost space per space metre space therefore Area space of space floor space equals 91.80 divided by 0.85 space equals space 108 therefore Area space of space floor space equals space 108 straight m squared therefore Area space of space floor space equals space straight l cross times straight b space therefore 108 space equals space 12 cross times straight b space therefore straight b space equals space 9 space straight m Cost space of space preparing space the space wall space a t space R s.1.35 divided by straight m squared equals space Rs. space 340.20 space Area space of space walls equals cost space of space preparing space the space walls divided by cost space per space metre Area space of space walls equals 340.20 divided by 1.35 space equals 252 space straight m squared Area space of space walls space equals space 2 open parentheses straight l cross times straight h close parentheses plus 2 open parentheses straight b cross times straight h close parentheses therefore 252 space equals space 2 open parentheses 12 cross times straight h close parentheses plus 2 open parentheses 9 cross times straight h close parentheses equals 2 straight h left parenthesis 12 plus 9 right parenthesis therefore 252 equals 42 straight h therefore straight h space equals 6 therefore Height space of space the space room space equals 6 space straight m.  end style
Answered by Priti Shah | 16 Feb, 2016, 12:58: PM
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