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

  • question_answer
    In the given figure, ABCD is a quadrilateral with BD = 20 cm. If \[AL\bot BD\] and \[CM\bot BD\]such  that AL= 10 cm and \[CM=5\,cm.\] find the area of quadrilateral ABCD.

    A) \[~150\text{ }c{{m}^{2}}\]                             

    B)        \[~180\text{ }c{{m}^{2}}\]     

    C)        \[~100\,c{{m}^{2}}\]                         

    D)        \[~140\,c{{m}^{2}}\]

    Correct Answer: A

    Solution :

    Area of quadrilateral ABCD \[=\frac{1}{2}\times BD\times AL\times BD\times CM\] \[=\frac{1}{2}\times 20\times 10+\frac{1}{2}\times 20\times 5\] \[=100+50=150\,c{{m}^{2}}\]


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