The length of a room is 50 percent more than its breadth. The cost of carpeting the room at rate of rs. 38.50 per m^2 is rs. 924 and the cost of painting walls at rate rs. 5.50 per m^2 is rs. 1320. find the dimensions of the room...
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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
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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