8th Class Mathematics Understanding Quadrilaterals Question Bank Understanding Quadrilaterals

  • question_answer
    ABCD is a rectangle. Its diagonals meet at O. Find x; if \[OA=2x+4\]and \[OD=3x+1\].

    A)  \[2\]    

    B)                                                         \[3\]                    

    C)                         \[-3\]                   

    D)                         \[-2\]

    Correct Answer: B

    Solution :

    \[\overline{OD}\] is half of the diagonal \[\overline{BD}\]. \[\overline{OA}\] is half of the diagonal \[\overline{AC}\]. Diagonals are equal. So, their halves are also equal. Therefore, 3x + 1 = 2x + 4 \[\Rightarrow \]    \[x=3\].


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