Question

# The floor of a rectangular hall has a perimeter $$250\;m$$. If the cost of painting the four walls at the rate of $$10\;per\;m^2$$ is $$15000$$, find the height of the hall.

Solution

## Given perimeter of the floor of rectangular hall$$=250$$mi.e., $$2(l+b)=250$$$$l+b=125$$Area of four walls$$=2h(l+b)$$$$=2h(125)$$$$=250h$$Given cost of painting at rate $$10$$ per $$m^2=15000$$i.e., $$10(LSA)=15000$$$$10(250)h=15000$$$$h=6$$m.Mathematics

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