The length of a room is 50 per cent more than its breadth. The cost of carpeting the room at the rate of ₹38.50m² is ₹924 and the cost of painting the walls at the rate of ₹5.50 per m² is ₹1,320. 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 ₹38.50m² is ₹924 and the cost of painting the walls at the rate of ₹5.50 per m² is ₹1,320. 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
Step-by-step explanation:
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