The floor of a rectangular hall has a perimeter 250 m. If the cost of painting the four walls at the rate of Rs 10 per m² is 15000, find the height of the hall (in meters).

Given:Perimeter=250m⇒Area of4walls=2lh+2bh=2(b+l)h⇒Perimeter of floor of wall=2l+2b⇒2(l+b)=250m∴Area of 4 walls=2(l+b)h=250hm2⇒Cost of painting perm2area=Rs.10⇒Cost of painting250hm2area=Rs(250h×10)=Rs.2500h⇒Painting cost of walls=Rs.15000⇒2500h=15000⇒h=150002500⇒h=6m