Question

Find the cost of carpeting a room 13 m long and 9 m broad with a carpet 75 cm wide at the value of Rs. 12.40 per square meter.

• A. Rs. 1834.60
• B. Rs. 1680.60
• C. Rs. 1240.60
• D. Rs. 1934.40

Hint:

Length of carpet $= \frac{13 \times 9}{0.75} = 156\text{ m}$. Total cost $= 156 \times 12.40 = \text{Rs. } 1934.40$.

Answer 1

The Correct Option is D

Step 1: Understanding the Concept:
The total area of carpet required equals the floor area of the room.

Step 2: Key Formula or Approach:
Floor dimensions: Length $L = 13\,\text{m}$, Breadth $B = 9\,\text{m}$.
Total room area:
\[\text{Area} = 13 \times 9 = 117\,\text{m}^2\] Carpet width $w = 75\,\text{cm} = 0.75\,\text{m}$.
Length of carpet roll required:
\[\text{Length} = \frac{\text{Area}}{w} = \frac{117}{0.75} = 156\,\text{m}\]

Step 3: Detailed Explanation:
Rate is Rs. $12.40$ per linear meter of carpet roll:
\[\text{Total Cost} = 156 \times 12.40 = \text{Rs. } 1934.40\]

Step 4: Final Answer:
Hence, the total cost of carpeting is Rs. 1934.40.