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      Question

      The breadth of a rectangular hall is 5/16 of its length.

      If the area of the floor is 80 sq. m., then the difference between the length and breadth of the hall is: 
      A 2 m Correct Answer Incorrect Answer
      B 11 m Correct Answer Incorrect Answer
      C 4 m Correct Answer Incorrect Answer
      D 25 m Correct Answer Incorrect Answer
      E 14 m Correct Answer Incorrect Answer

      Solution

      Using formula  Area = lb, Let the length of rectangular hall = x metre Therefore, Breadth = (5x/16) metre Area of rectangle = Length x Breadth ⇒ (5x/16) × x ⇒ 5x2/16 m2 According to question, ⇒ 5x2/16 = 80 Therefore, x2 = (80 x 16)/5 or, x = √{(80 x 16)/5} = 16 m Therefore, Length = 16 m and Breadth = 5 m Therefore, required difference = 16 – 5 = 11 m

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