A field is 30 m by 22 m. Along the length of the field, a rectangular plot of 9 m by 4 m is cut off for a entry gate and a small parking. How much wll it cost to plant fresh grass in the field at the rate of Rs 45 per sq. m ?

Answer

To solve the problem step by step, we will calculate the area of the field, the area of the rectangular plot that is cut off, and then determine the cost to plant fresh grass in the remaining area.

### Step 1: Calculate the area of the field
The area of a rectangle is calculated using the formula:
\[ \text{Area} = \text{Length} \times \text{Breadth} \]
Given:
- Length of the field = 30 m
- Breadth of the field = 22 m

Calculating the area:
\[ \text{Area of the field} = 30 \, \text{m} \times 22 \, \text{m} = 660 \, \text{m}^2 \]

### Step 2: Calculate the area of the rectangular plot cut off
Using the same formula for area:
Given:
- Length of the plot = 9 m
- Breadth of the plot = 4 m

Calculating the area:
\[ \text{Area of the plot} = 9 \, \text{m} \times 4 \, \text{m} = 36 \, \text{m}^2 \]

### Step 3: Calculate the remaining area of the field
To find the remaining area after cutting off the plot:
\[ \text{Remaining Area} = \text{Area of the field} - \text{Area of the plot} \]
Calculating the remaining area:
\[ \text{Remaining Area} = 660 \, \text{m}^2 - 36 \, \text{m}^2 = 624 \, \text{m}^2 \]

### Step 4: Calculate the cost to plant fresh grass
The cost to plant grass is given at Rs. 45 per square meter. Therefore, we can calculate the total cost using:
\[ \text{Total Cost} = \text{Remaining Area} \times \text{Cost per m}^2 \]
Calculating the total cost:
\[ \text{Total Cost} = 624 \, \text{m}^2 \times 45 \, \text{Rs/m}^2 = 28,080 \, \text{Rs} \]

### Final Answer
The total cost to plant fresh grass in the field is Rs. 28,080.

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