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Question
The length and breadth of a hall are in the ratio 4: 3 and its height is 5.5 metres. The cost of decorating its walls (including doors and windows) at Rs. 6.60 per square metre is Rs. 5082. Find the length and breadth of the room.
Solution
Let the length be 4x and breadth be 3 x
Height = 5.5m [given]
Now it is given that cost of decorating 4 walls at the rate of `Rs 6.601 m^2` is `Rs. 5082 `
⇒ Area of four walls x rate = total cost of painting
`2(l+b)xxhxx6.60=5082`
`2(4x+3x)xx5.5xx6.60=5082`
`⇒7x= (5082)/(5.5xx2.6xx2)`
`⇒7x = 10`
`⇒x=10`
Length= 4x = 4 x 10 = 40m
Breadth = 3x = 3 x 10 = 30m
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