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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, \[AE\bot DC\]and \[CF\bot AD.\]If AD = 12 cm, AE = 8 cm and CF = 10 cm, then find CD.

    A)  17cm                          

    B)         12cm              

    C)         10cm                          

    D)         15cm              

    Correct Answer: D

    Solution :

    We have AD =12 cm, AE = 8 cm and CF = 10 cm Area of parallelogram = \[\text{base  }\!\!\times\!\!\text{  height}\] \[\text{=AD}\times \text{CF=12}\times 10=120\,c{{m}^{2}}\]   ?(i) Again area of parallelogram \[=CD\times AE\] \[\Rightarrow \]\[120=CD=8\]\[\Rightarrow \]\[CD=15\,cm\]


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