Find The Ratio of Area of The Parallelogram DEFB and the trapezium CAFD is: If

If D, E and F are the midpoints of BC, CA and AB respectively of DABC then the ratio of area of the parallelogram DEFB and area of the trapezium CAFD is:

  1. 2 : 3
  2. 1 : 3
  3. 3 : 4
  4. 1 : 2
Desire Adnan Default Asked on 22nd August 2015 in Maths.
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    Answer: (1) 2 : 3

    Explanation:-
    In the figure-

    RE: Find The Ratio of Area of The Parallelogram DEFB and the trapezium CAFD is: If


    Area of all small triangle DCE, AEF, DEF, BDF  = (Area of triangle)/4

    Therefore, the ratio of area of the parallelogrem DEFB and the area of the trapezium CAFD = 2/ 3
    = 2 : 3

    Hence, the answer is (1) 2 : 3.

    Anurag Mishra Professor Answered on 28th August 2015.
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