A rectangular grassy plot is 112m long and 78m broad. It has a gravel path 2.5m wide all around it on the side. Find the area of the path and the cost of constructing it at Rs. 4.50 per square metre.

Explanation

To solve the problem step by step, we will calculate the area of the gravel path and then find the cost of constructing it.

### Step 1: Calculate the dimensions of the outer rectangle
The rectangular grassy plot has a length of 112 m and a breadth of 78 m. The gravel path is 2.5 m wide all around it.

- **Length of the outer rectangle** = Length of the inner rectangle + 2 × Width of the path
\[
\text{Length of outer rectangle} = 112 + 2 \times 2.5 = 112 + 5 = 117 \text{ m}
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