a room is twice as long as it wide . the cost of carpenting the floor at 40 paise per square metre is rs 88.20 and that of painting its 4 walls at 9 paise per square metre is rs 56.70 find the dimensions of the room
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Answer:
Let width=x
so, length=2x
Floor area= 2x^2 (L×W)
so, 2x^2×40/100= 88.20
or, 2x^2=8820/40
or, x^2=882/8
or, x^2=441/4
or, x= √(441/4)
or, x=21/2= 10.5 m
W=10.5m
L= 2×10.5= 21m
Now,
Let height =h
{2(L×h)+2(W×h)}×9/100 =56.70
or,{ (2×21×h)+(2×10.5×h)} = 5670/9
or,63h= 630
or, h=630/63=10 m
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