the length of a room is 50 percent more than its breadth. the cost of carpeting the room at the rate of 38. 50 is 924 and cost of painting the walls at the rate of 5.50% m is 1320 .find the dimensions of the room
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The length of a room is 50 per cent more than its breadth. The cost of carpeting the room at the rate of Rs38.50m
2
is Rs924 and the cost of painting the walls at the rate of Rs5.50 per m
2
is Rs1,320. Find the dimensions of the room.
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ANSWER
Let length (l)=
2x
x+1
=
2(x)
3
Let breadth (b)=x
Area of floor =
3850
924×100
l×b=24
2
3x
×x=24⇒x
2
=
3
24×2
2
3
x
2
=24 x=4
Area of walls =1320×
550
100
2(l+b)h=240
100×h=
2
240
h=12 m
l=
2
3
×4=6 cm
b=x=4 cm
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