Multiple choice

The length of a rectangular conference hall is 6 meters more than its breadth. If the total cost of flooring the hall at a commercial rate of Rs. 85 per square meter is Rs. 18,360, evaluate the perimeter of the conference hall.

  1. 54 meters

  2. 60 meters

  3. 64 meters

  4. 72 meters

  5. 58 meters
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Area = 18360 / 85 = 216 sq meters. Let breadth be x, length x+6. x(x+6) = 216. x^2 + 6x - 216 = 0. (x+18)(x-12) = 0. Breadth = 12, Length = 18. Perimeter = 2 * (12 + 18) = 60 meters.

AI explanation

Dividing the total cost of Rs. 18,360 by the rate of Rs. 85 per square meter gives an area of 216 square meters. Let the breadth be x meters, so the length is x plus 6 meters, and the area formula yields x times the quantity x plus 6 equals 216. Solving this quadratic equation gives x equals 12 meters, meaning the length is 18 meters, and the perimeter formula 2 times the sum of length and breadth yields 2 times 30, which equals 60 meters.

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