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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. Find the height of the room.

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Solution

The cost of preparing 4 walls of a room whose length is 12 m is Rs 340.20 at a rate of Rs 1.35/m2. Area of the four walls of the room=total costrate=Rs 340.20Rs 1.35=252 m2Also, the cost of matting the floor at 85 paise/m2 is Rs 91.80. Area of the floor=total costrate=Rs 91.80Rs 0.85=108 m2Hence, breadth of the room=area of the floorlength=10812=9 mSuppose that the height of the room is h m.Then, we have:Area of four walls=2×(length×height+breadth×height)252=2×(12×h+9×h)252=2×(21h)21h=2522=126h=12621=6 m The height of the room is 6 m.

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