a door of length 2 metre and breadth 1m is fitted in a wall. the length of the wall is 4.5m and the breadth is 3.6m. find the cost of whitewashing the wall, if the rate of white washing the wall is 20 per square metre.
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Answer:
area of the door= 2m*1m=2m²
area of the wall=4.5m*3.6m=16.2m²
area of the wall for white washing= 16.2m²-2m²= 14.2m²
cost of whitewashing 1m²=rs20
cost of whitewashing the wall= 14.2*20=rs284
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Area of rectangular door=length×breadth=2m×1m=2m2
Area of wall including door=length×breadth=4.5m×3.6m=16.2m2
Now, Area of wall excluding door
=Area of wall including door−Area of door
=16.2−2=14.2m2
Since, The rate of white washing of 1m2 the wall=Rs. 20
Therefore, the rate of white washing of 14.2m2 the wall=20×14.2
= Rs. 284
Thus, the cost of white washing the wall excluding the door is Rs. 284.
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