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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,   ABCD is a parallelogram, \[AL\bot BC,\,AM\bot CD,\]\[AL=4cm\]and AM = 5 cm. If BC= 6.5 cm, then find CD.

    A)  5.2 cm                        

    B)         8.7 cm            

    C)         6.5 cm                        

    D)         3.3 cm

    Correct Answer: A

    Solution :

    It is given that, AL = 4 cm, BC = 6.5 cm, AM = 5 cm Area of parallelogram\[ABCD=AL\times BC\] \[=4\times 6.5=26\,c{{m}^{2}}\] Also, Area of parallelogram\[ABCD=AM\times DC\] \[\Rightarrow \]\[26=5\times DC\Rightarrow DC=5.2\,cm.\]


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