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.

March 22, 2026Mathematics

ScanSolve AI Answer

March 22, 2026

Answer

183750 ₹

Step 1: Find the area of the square.
The area $A$ of a square with side length $s$ is
$A = s^{2}$
Substitute $s = 35$ m:
$A = (35)^{2} = 1225$ m²

Step 2: Find the total cost of carpeting.
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:
$C = 1225 \times 150$ ₹

Step 3: Compute $1225 \times 150$ .
First, $1225 \times 100 = 122500$ .
Then, $1225 \times 50 = 61250$ .
Add them:
$122500 + 61250 = 183750$
So, $C = 183750$ ₹.

Final answer: 183750 ₹

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Quick Answer

Find the area of the square. The area A of a square with side length s is A = s^2 Substitute s = 35 m: A = (35)^2 = 1225 m² Step 2: Find the total cost of carpeting.

Asked on March 22, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on March 22, 2026

Step 1: Find the area of the square. The area A of a square with side length s is A = s^2 Substitute s = 35 m: A = (35)^2 = 1225 m² Step 2: Find the total cost of carpeting. The total cost C is area times cost per square meter: C = A × cost per m² Substitute A = 1225 m² and cost = ₹150 per m²: C = 1225 × 150 ₹ Step 3: Compute 1225 × 150. First, 1225 × 100 = 122500. Then, 1225 × 50 = 61250. Add them: 122500 + 61250 = 183750 So, C = 183750 ₹. Final answer: 183750 ₹