# 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. - Mathematics

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

Concept: Surface Area of a Cuboid
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#### APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 18 Surface Areas and Volume of a Cuboid and Cube
Exercise 18.1 | Q 18 | Page 15

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