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.

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Solution

The length and breadth of the hall are in the ratio 4 : 3.

Hence l = 4x, b = 3x, h = 5.5 m

Rate of decorating the wall, R = 6.6 per square meter

Total cost of decoration C = Rs.5082

We have to find the length and breadth of the room

Surface area of the walls,

Cost of decoration = A × R

Hence,

Length

Breadth

The length and breadth of the hall are and respectively.

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