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# A door of dimensions 3 m x 2m is on the wall of dimension 10 m x 10 m. Find the cost of painting the wall if rate of painting is Rs 2.50 per sq. m.

To find the cost of painting the wall, we first need to calculate the area of the wall excluding the area covered by the door, and then multiply it by the cost per square meter. Calculate the cost: Cost per square meter = Rs 2.50Total cost = Area of the wall excluding the door × Cost per square...

To find the cost of painting the wall, we first need to calculate the area of the wall excluding the area covered by the door, and then multiply it by the cost per square meter.$\dpi{100}&space;-&space;Total&space;area&space;of&space;the&space;wall&space;=&space;$$10&space;\,&space;\text{m}&space;\times&space;10&space;\,&space;\text{m}&space;=&space;100&space;\,&space;\text{m}^2$$&space;-&space;Area&space;covered&space;by&space;the&space;door&space;=&space;$$3&space;\,&space;\text{m}&space;\times&space;2&space;\,&space;\text{m}&space;=&space;6&space;\,&space;\text{m}^2$$&space;-&space;Area&space;of&space;the&space;wall&space;excluding&space;the&space;door&space;=&space;$$100&space;\,&space;\text{m}^2&space;-&space;6&space;\,&space;\text{m}^2&space;=&space;94&space;\,&space;\text{m}^2$$$

Calculate the cost:

• Cost per square meter = Rs 2.50
Total cost = Area of the wall excluding the door × Cost per square meter
$\dpi{100}&space;-&space;Total&space;cost&space;=&space;$$94&space;\,&space;\text{m}^2&space;\times&space;Rs&space;\,&space;2.50/\text{m}^2$$&space;-&space;Total&space;cost&space;=&space;Rs&space;235$

So, the cost of painting the wall is Rs 235.

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