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Question
The cost of papering the four walls of a room at 75 paise per square meter Rs. 240. The height of the room is 5 meters. Find the length and the breadth of the room, if they are in the ratio 5 : 3.
Solution
let the length and breadth of the room is 5x and 3x respectively.
Given that the four walls of a room at 75 paise per square met Rs. 240.
Thus,
240 = Area x 0.75
Area = `240/0.75`
Area = `24000/75`
Area = 320 m
Area = 2 x Height ( Length + Breadth )
320 = 2 x 5 ( 5x + 3 x )
320 = 10 x 8x
32 = 8x
x = 4
Length = 5x
= 5 ( 4 ) m
= 20 m
breadth = 3x
= 3 ( 4 ) m
= 12 m
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