A square hall has a side of 8 meters. It needs to be carpeted. If the cost of carpeting is ₹150 per square meter, calculate the total cost of carpeting the hall. Describe the process.

The area $A$ of a square with side length $s$ is

$$A = s^{2}$$

Substitute $s = 35$ m:
$A = (35)^{2} = 1225$ m²

The total cost $C$ is area times cost per square meter:

$$C = A \times \text{cost per m²}$$

Substitute $A = 1225$ m² and cost = ₹150 per m²:
$C = 1225 \times 150$ ₹

First, $1225 \times 100 = 122500$.
Then, $1225 \times 50 = 61250$.
Add them:

$$122500 + 61250 = 183750$$

So, $C = 183750$ ₹.

Final answer: 183750 ₹