The length of a rectangular room is 3 times its height and the breadth is 2 times the height. The cost of white washing the four walls of the room at the rate of 10 per sq. m is 14,400. Find the cost of tiling the floor at the rate of 120 per sq. m.
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Answer:
cost of tiling floor = 103680 rs
Step-by-step explanation:
given,
L= 3*h B= 2*h
Rate of washing walls = 10 per m²
total cost of washing= 14400 rs
Area of walls = total cost / Rate of washing walls
Area of walls = 14400/10
Area of walls = 1440 m²
here
2*(L*h)+2*(B*h)=1440
2*(3h*h)+2*(2h*h)=1440
6h²+4h²=1440
10h²= 1440
h²= 144
h= 12 m
Area of floor
= L*B
=3h*2h
=(3*12)*(2*12)
= 864 m²
Area of floor= 864 m²
cost of tiling floor = Area of floor* Rate of tiling
= 864*120
= 103680 rs
cost of tiling floor = 103680 rs
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