A rectangular room has length 5.5 m and width 3.75 m. Find the total cost of paving (covering) the floor with slabs at the rate of ₹800 per sq m, assuming the entire floor area is covered and there is no wastage.

Difficulty: Easy

Correct Answer: ₹16,500

Explanation:


Introduction / Context:
This is a direct application of area and cost calculation. For a rectangular floor, area is simply length * width. Once area is found in square metres, multiply by the slab rate (₹ per sq m) to get the total paving cost. The main focus is clean multiplication and keeping units consistent.


Given Data / Assumptions:

  • Length = 5.5 m
  • Width = 3.75 m
  • Floor area = length * width
  • Rate of paving = ₹800 per sq m
  • No wastage or cutting loss assumed


Concept / Approach:
Compute rectangular area in sq m, then multiply by ₹800 per sq m to get total cost in rupees.


Step-by-Step Solution:

Step 1: Area = 5.5 * 3.75 = 20.625 sq m Step 2: Cost = 20.625 * 800 Step 3: 20.625 * 800 = 20.625 * (8 * 100) = (20.625 * 8) * 100 Step 4: 20.625 * 8 = 165 Step 5: Therefore cost = 165 * 100 = ₹16,500


Verification / Alternative check:
Since 800 is a large rate, the cost should be in the tens of thousands. The area is about 20.6 sq m, so 20.6 * 800 is about 16,480, close to ₹16,500. The exact multiplication confirms ₹16,500.


Why Other Options Are Wrong:

₹15,500 and ₹14,500: correspond to smaller areas than 20.625 sq m. ₹17,500 and ₹18,500: correspond to larger areas or incorrect multiplication of 800. None match the exact product of 20.625 and 800.


Common Pitfalls:
Common errors include multiplying 5.5 and 3.75 incorrectly, mixing centimetres with metres, or multiplying by 80 instead of 800. Also, some mistakenly add length and width instead of multiplying them when computing area.


Final Answer:
₹16,500

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