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The Cost of Preparing the Walls of a Room 12 M Long at the Rate of Rs. 1.35 per Square Metre is Rs. 340.20 and the Cost of Matting the Floor at 85 Paise per Square Metre is Rs. 91.80. - Mathematics

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प्रश्न

The cost of preparing the walls of a room 12 m long at the rate of Rs. 1.35 per square metre is Rs. 340.20 and the cost of matting the floor at 85 paise per square metre is Rs. 91.80. Find the height of the room.

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उत्तर

Given that
Length of room = 12m.
Let height of room be ‘h’ m.
Area of 4 walls = 2 (l + b)x h
According to question

`⇒2(l+b)xxhxx1.35=340.20`

`⇒2(12+b)xxhxx1.35=340.20`

`⇒(12+b)xxh=(170.10)/1.35=126             .......(1)`

Also area of floor = l x b
`∴lxxbxx0.85=91.80`

`⇒12xxbxx0.85 = 91.80`

`⇒b=9m`

Substituting b= 9m in equation (1)

`⇒(12+9)xxh=126`

`⇒h=6m`

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अध्याय 18: Surface Areas and Volume of a Cuboid and Cube - Exercise 18.1 [पृष्ठ १५]

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आरडी शर्मा Mathematics [English] Class 9
अध्याय 18 Surface Areas and Volume of a Cuboid and Cube
Exercise 18.1 | Q 17 | पृष्ठ १५

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