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  • A door of length 2 m and breadth 1m is fitted in a wall. The length of the wall is 4.5 m and the breadth is 3.6 m ( Figure 11.6).

Q. 8.     A door of length 2\; m and breadth 1\; m is fitted in a wall. The length of the wall is 4.5\; m and the breadth is3.6\; m (Fig11.6). Find the cost of white washing the wall, if the rate of white washing the wall is Rs.20\; per\; m^{2}

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It is given that the length of door is 2\; m and breadth is  1\; m and the length of the wall is 4.5\; m and the breadth is3.6\; m 

Now, we know that

Area of rectangle is = length \times breath

Thus, the area of the wall is

\Rightarrow 4.5 \times 3.6 =16.2 \ m^2

And

Area of the door is

\Rightarrow 2 \times 1 =2 \ m^2

Now, Area to be painted = Area of wall - Area of door = 16.2 - 2 = 14.2 \ m^2

 Now, the cost of whitewashing the wall, at the rate of Rs.20\; per\; m^{2} is 

\Rightarrow 14.2 \times 20 = 284 \ Rs

Therefore, the cost of whitewashing the wall, at the rate of Rs.20\; per\; m^{2} is Rs 284

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