Question
CBSEENMA9003378

The cost of papering the four walls of a room at 70 paise per square metre is र 157.50. The height of the room is 5 metres. Find the length and the breadth of the room if they are in the ratio 4 : 1.

Solution

Let the length and the breadth of the room be 4x m and x m respectively.
Area of the four walls of the room = 2(l + b) h
= 2(4x + x) 5 = 50 x m2
Cost of papering the four walls of the room @ 70 paise per square metre
= र 50x x 0.70 = र 35x According to the question,
35x = 157.50
rightwards double arrow space space space space space space space space space space straight x equals space fraction numerator 157.50 over denominator 35 end fraction equals 4.5

∴ Breadth of the room = 4.5 m
∴ Length of the room = 4 x 4.5 m = 18 m. 

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