A wall is 12 long and 4 m high. There is a rectangular window measuring `2.5 m` by 2m in the wall Find how much it will cost to paint the wall at the rate of Rs 22 per sq. m.

Answer

To solve the problem step by step, we will calculate the area of the wall, subtract the area of the window, and then find the cost to paint the effective area of the wall.

### Step 1: Calculate the area of the wall
The area of a rectangle is calculated using the formula:
\[ \text{Area} = \text{Length} \times \text{Height} \]
Here, the length of the wall is 12 m and the height is 4 m.

\[ \text{Area of the wall} = 12 \, \text{m} \times 4 \, \text{m} = 48 \, \text{m}^2 \]

### Step 2: Calculate the area of the window
The area of the window can also be calculated using the same formula:
\[ \text{Area of the window} = \text{Length} \times \text{Height} \]
The dimensions of the window are 2.5 m by 2 m.

\[ \text{Area of the window} = 2.5 \, \text{m} \times 2 \, \text{m} = 5 \, \text{m}^2 \]

### Step 3: Calculate the effective area to be painted
To find the effective area that needs to be painted, we subtract the area of the window from the area of the wall.

\[ \text{Effective area} = \text{Area of the wall} - \text{Area of the window} \]
\[ \text{Effective area} = 48 \, \text{m}^2 - 5 \, \text{m}^2 = 43 \, \text{m}^2 \]

### Step 4: Calculate the cost to paint the effective area
The cost of painting is given as Rs 22 per square meter. We can calculate the total cost by multiplying the effective area by the cost per square meter.

\[ \text{Total cost} = \text{Effective area} \times \text{Cost per square meter} \]
\[ \text{Total cost} = 43 \, \text{m}^2 \times 22 \, \text{Rs/m}^2 = 946 \, \text{Rs} \]

### Final Answer
The total cost to paint the wall is Rs 946.

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