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Solution for 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. - CBSE Class 9 - Mathematics

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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

  Is there an error in this question or solution?

APPEARS IN

 R.D. Sharma Mathematics for Class 9 by R D Sharma (2018-19 Session) (with solutions)
Chapter 18: Surface Areas and Volume of a Cuboid and Cube
Q: 17
Solution for 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. concept: Surface Area of a Cuboid and a Cube. For the course CBSE
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