the floor of a rectangular hall has a perimeter 250 m is the cost of painting the four walls @ rupees 10 m square is rupees 15000 find the height of the hall
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2(l+b)=250 => l+b=125m
Area of four wall=15000/10=>1500m2
Area of four wall=2*h*(l+b) =>1500m2
:- 2*h*125=1500
h=6 m
Area of four wall=15000/10=>1500m2
Area of four wall=2*h*(l+b) =>1500m2
:- 2*h*125=1500
h=6 m
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Step-by-step explanation:
Let length, breadth, and height of the rectangular hall be l, b, and h respectively.
Area of four walls = 2lh+2bh
= 2(l+b)h
Perimeter of the floor of hall = 2(l+b)
= 250 m
Area of four walls = 2(l+b) h = 250h m2
Cost of painting per square meter area = Rs.10
Cost of painting 250h square meter area = Rs (250h×10) = Rs.2500h
However, it is given that the cost of paining the walls is Rs. 15000.
15000 = 2500h
Or h = 6
Therefore, the height of the hall is 6 m.
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