1.

The cost of painting if four walls of a room 12 m long at Rs. 30 per `m^(2) ` is Rs. 7560 and th cost of covering the floor with mat at Rs. 25 per `m^(2) ` is Rs. 2700 .Find the dimensions of the room .

Answer» Correct Answer - Length = 12 m, breadth =9m and height = 6m
Area of walls `=("total cost painting")/("rate per "m^(2))=((7560)/(30))m^(2)=252m^(2).`
Area of the floor `=("total cost of matting ")/("rate per "m^(2))=((2700)/(25))m^(2)=108m^(2)`.
Let breadth =b metres and height =h metres , then ,
Also , `2(l+b)xxh=252implies h=252impliesh=6m.`


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