Question

The length of a room is 50% more than its breadth. The cost of carpeting the room @ of rupees 38.50m² is rupees 924 and he cost of painting the walls @ of rupees 5.50 per m² is rupees 1'320.Find the dimensions of the room.

Answer 1

Let length (l)=x+1/2x=3/2x

Let breadth (b)=x

Area of floor=924×100/3850

l×b=24

3/2x×x=24

3/2x^2=24

x^2=24×2/3

x^2=4^2

x=4

Area of 4walls=1320×100/550

2 (l+b) h=240

10×h=240/2

h=12m

l=3/2×4=6m

b=x=4m

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