A hall is 16m long and 12 m braod .Find the cost of carpeting it at Rs. 615 per `m^(2)` after leaving a margin of 1 metre all around .

Answer

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

### Step 1: Determine the dimensions of the hall.
The hall is given as:
- Length = 16 m
- Width = 12 m

### Step 2: Calculate the dimensions after leaving a margin of 1 meter all around.
Since we are leaving a 1-meter margin on all sides, we need to subtract 2 meters from both the length and the width (1 meter from each side).

- New Length = 16 m - 2 m = 14 m
- New Width = 12 m - 2 m = 10 m

### Step 3: Calculate the area to be carpeted.
Now, we can calculate the area of the hall that needs to be carpeted using the new dimensions.

- Area = Length × Width
- Area = 14 m × 10 m = 140 m²

### Step 4: Calculate the cost of carpeting.
The cost of carpeting is given as Rs. 615 per m². To find the total cost, we multiply the area to be carpeted by the cost per square meter.

- Total Cost = Area × Cost per m²
- Total Cost = 140 m² × 615 Rs/m² = 86,100 Rs

### Final Answer:
The total cost of carpeting the hall after leaving a margin of 1 meter all around is Rs. 86,100.

---