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8th Class Mathematics Understanding Quadrilaterals Question Bank Understanding Quadrilaterals

  • question_answer
    The perimeter of a parallelogram is\[180\text{ }cm\]. If one side exceeds the other by \[10\text{ }cm,\] what are the sides of the parallelogram?

    A)  \[40\text{ }cm,\text{ }50\text{ }cm~\]

    B)                         \[45\text{ }cm\] each

    C)                         \[50\text{ }cm\] each   

    D)                         \[45\text{ }cm,\text{ }50\text{ }cm\]

    Correct Answer: A

    Solution :

    Let one side of the parallelogram be 'x' cm. Then adjacent side is \[(x+10)\,cm\]. \[\therefore \]Perimeter \[=x+(x+10)+x+(x+10)=180\]   (Given) \[\Rightarrow \]               \[4x+20=180\]                                 or \[x=40\,cm\] \[\therefore \]  \[x+10=50\,cm\]


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