The floor of a rectangular hall has a perimeter 150 m. If cost of painting the four walls at the rate of Rs.10 per m² is Rs. 9000,find height of wall.

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Solution

Perimeter $= 150 m$
Cost of painting the 4 walls = Rs. 9000
Cost of painting per sq. m = 10
Area of the 4 walls painted $= \frac{9000}{10}$ = 900 sq. m
We know area of the 4 walls painted $= 2 (l + b) h = 150 h$
[Since 2(l+b) = Perimeter]
$\Rightarrow 150 h = 900$
$\Rightarrow h = 6 m$
Height $= 6 m$

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The floor of a rectangular hall has a perimeter 150 m. If cost of painting the four walls at the rate of Rs.10 per m2 is Rs. 9000,find height of wall.

Perimeter=150 mCost of painting the 4 walls = Rs. 9000 Cost of painting per sq. m = 10 Area of the 4 walls painted =900010 = 900 sq. m We know area of the 4 walls painted =2(l+b)h=150h [Since 2(l+b) = Perimeter] ⇒150h=900 ⇒h=6mHeight =6m

The floor of a rectangular hall has a perimeter 150 m. If cost of painting the four walls at the rate of Rs.10 per m² is Rs. 9000,find height of wall.