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9th Class Mathematics Areas of Parallelograms and Triangles Question Bank Areas of Parallelograms and Triangles

  • question_answer
    In the given figure, D, E and F are the mid-points of the sides BC, CA and AB respectively. If ar \[(BDEF)=x\]ar \[(\Delta AFE),\]what is the value of\[x?\]

    A)       \[\frac{1}{2}\]                                   

    B)    1                                

    C)                2                                

    D)    4

    Correct Answer: C

    Solution :

    Here, \[\Delta AFE\cong \Delta BDF\cong \Delta CDE\] \[\cong DEF\] \[\therefore \]\[ar(BDEF)\] \[=ar(\Delta \Beta DF)+ar(\Delta DEF)\] \[=2ar(\Delta \Alpha FE)\] \[\Rightarrow \]            \[x=2\]


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