A rectangular plot 85 m long and 60 m broad is to be covered with grass leaving 5 m all around. Find the area to be laid with grass.

Answer

To find the area to be laid with grass in the rectangular plot, we can follow these steps:

### Step 1: Identify the dimensions of the rectangular plot.
The length of the rectangular plot is 85 m and the breadth is 60 m.

### Step 2: Determine the area that will not be covered with grass.
Since we need to leave a 5 m margin all around the plot, we need to subtract this margin from both the length and the breadth of the plot.

### Step 3: Calculate the new dimensions.
- The new length (L) after leaving 5 m on both sides will be:
\[ L = 85 \, \text{m} - 5 \, \text{m} - 5 \, \text{m} = 85 \, \text{m} - 10 \, \text{m} = 75 \, \text{m} \]

- The new breadth (B) after leaving 5 m on both sides will be:
\[ B = 60 \, \text{m} - 5 \, \text{m} - 5 \, \text{m} = 60 \, \text{m} - 10 \, \text{m} = 50 \, \text{m} \]

### Step 4: Calculate the area to be laid with grass.
The area (A) to be laid with grass can be calculated using the formula for the area of a rectangle:
\[ A = L \times B \]
Substituting the values we found:
\[ A = 75 \, \text{m} \times 50 \, \text{m} = 3750 \, \text{m}^2 \]

### Final Answer:
The area to be laid with grass is **3750 m²**.

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