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Question

The length of a room is 50 per cent more than its breadth. The cost of carpeting the room at the rate of Rs38.50m2 is Rs924 and the cost of painting the walls at the rate of Rs5.50 per m2 is Rs1,320. Find the dimensions of the room.

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Solution

Let length (l)=x+12x=32(x)
Let breadth (b)=x
Area of floor =924×1003850
l×b=24
3x2×x=24x2=24×23
32x2=24 x=4
Area of walls =1320×100550
2(l+b)h=240
100×h=2402
h=12 m
l=32×4=6 cm
b=x=4 cm

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