A wall is 11 m long and 4 m high. It has a door which is 2 m high and `1.5m` wide. Find the cost of painting the wall at the rate of Rs 6 per sq. m.

Answer

To solve the problem step by step, we will follow these calculations:

### Step 1: Calculate the area of the wall
The wall is rectangular, and its area can be calculated using the formula:
\[ \text{Area of the wall} = \text{Length} \times \text{Height} \]
Given:
- Length of the wall = 11 m
- Height of the wall = 4 m

Calculating the area:
\[ \text{Area of the wall} = 11 \, \text{m} \times 4 \, \text{m} = 44 \, \text{m}^2 \]

### Step 2: Calculate the area of the door
The door is also rectangular, and its area can be calculated using the same formula:
\[ \text{Area of the door} = \text{Height} \times \text{Width} \]
Given:
- Height of the door = 2 m
- Width of the door = 1.5 m

Calculating the area:
\[ \text{Area of the door} = 2 \, \text{m} \times 1.5 \, \text{m} = 3 \, \text{m}^2 \]

### Step 3: Calculate the area to be painted
To find the area that needs to be painted, we subtract the area of the door from the area of the wall:
\[ \text{Area for painting} = \text{Area of the wall} - \text{Area of the door} \]
Calculating the area for painting:
\[ \text{Area for painting} = 44 \, \text{m}^2 - 3 \, \text{m}^2 = 41 \, \text{m}^2 \]

### Step 4: Calculate the cost of painting
The cost of painting is given at a rate of Rs 6 per square meter. Therefore, the total cost can be calculated as:
\[ \text{Cost} = \text{Area for painting} \times \text{Cost per square meter} \]
Calculating the cost:
\[ \text{Cost} = 41 \, \text{m}^2 \times 6 \, \text{Rs/m}^2 = 246 \, \text{Rs} \]

### Final Answer
The cost of painting the wall is **Rs 246**.

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