Multiple choice

What will be the cost of flooring a hall whose length and breadth are in the ratio $5 : 3$ respectively, if the perimeter of the hall is $64$ meters and the cost of flooring it is Rs. $45$ per square metre?

  1. Rs. $10,800$
  2. Rs. $2,880$
  3. Rs. $11,520$
  4. Rs. $5,600$
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A Correct answer
Explanation

Perimeter = 2(5x + 3x) = 16x = 64, so x = 4. Length = 20, Breadth = 12. Area = 240. Cost = 240 * 45 = 10800.

AI explanation

Let the length and breadth be 5x and 3x; using the rectangle perimeter formula, 2(5x + 3x) equals 64, so x is 4. This makes the hall dimensions 20 meters by 12 meters, and multiplying them gives an area of 240 square meters. Multiplying this area by the cost of 45 rupees per square meter gives a total flooring cost of 10800 rupees.

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