What will be the Distance of Parallel Sides? If

The perimeter of a trapezium is 58 cm and sum of its non-parallel sides is 20 cm. If its area is 152 cm2, then the distance between the parallel sides, in cms, is:

  1. 9.8
  2. 15.2
  3. 6
  4. 8
Monis Rasool Professor Asked on 20th September 2015 in Maths.
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    Answer: (4) 8 

    Explanation:-
    In the figure-

    RE: What will be the Distance of Parallel Sides? If


    The sum of non-parallel sides of trapezium = 20 cm
    The perimeter of trapezium = 58 cm
    Then, the sum of two parallel sides of trapezium = 58 – 20 = 38 cm
    The area of the trapezium = 152 sq. cm
    Formula-
    The area of trapezium = (sum of parallel sides ) x h/2

    Then,  38 x h/2 = 152
    19 h = 152
    h = 152/19
    h = 8 cm
    Then, the height of the trapezium is 8 cm.

    Hence, the answer is (4) 8 cm.

    Anurag Mishra Professor Answered on 21st September 2015.
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