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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. - CBSE Class 9 - Mathematics

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ConceptSurface Area of a Cuboid and a Cube

#### 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

RD Sharma Solution for Mathematics for Class 9 by R D Sharma (2018-19 Session) (2018 to Current)
Chapter 18: Surface Areas and Volume of a Cuboid and Cube
Ex.18.10 | Q: 18 | Page no. 15
Solution 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.
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