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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.

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#### 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

Concept: Surface Area of a Cuboid

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