The perimeter of a rectangular field is 480 feet

The perimeter of a rectangular field is 480 feet and the ratio between the length and breadth is 5: 3. What is the area of the field?

  1. 54000 sq. feet
  2. 27000 sq.feet
  3. 24000 sq. feet
  4. 13600 sq. feet
Anurag Mishra Professor Asked on 30th April 2016 in Maths.
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  • 1 Answer(s)

    Answer: (4) 13,500 sq feet

    Solution:-
    The perimeter of a rectangular field = 480

    The ratio of the length and breadth = 5: 3
    Let the length and breadth be 5 X and 3 X.
    Then, 2 (5 X + 3 X) = 480
    2 x 8 X = 480
    16 X = 480
    X = 480/16
    X = 30

    So, the length and breadth of the rectangle = 5 X 30 = 150 m  and 3 X = 3 x 30 = 90 metres
    Then, area of the rectangle = 150 x 90
    = 13,500 sq feet.

    Hence, the correct answer is option (4) 13,500 sq feet.

    Anurag Mishra Professor Answered on 30th April 2016.
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