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7th Class Mathematics Mensuration Question Bank Mensuration (Perimeter & Area)

  • question_answer
    A rhombus ABCD is inscribed in a rectangle PQRS. If area of rhombus is \[{{\Delta }_{1}}\] & that of rectangle is \[{{\Delta }_{2}},\]then

    A)  \[\frac{{{\Delta }_{1}}}{{{\Delta }_{2}}}=1\]                 

    B)  \[\frac{{{\Delta }_{1}}}{{{\Delta }_{2}}}=\frac{1}{2}\]

    C)         \[\frac{{{\Delta }_{1}}}{{{\Delta }_{2}}}=\frac{2}{1}\]            

    D)  \[\frac{{{\Delta }_{1}}}{{{\Delta }_{2}}}={}^{1}/{}_{3}\]

    Correct Answer: B

    Solution :

    (b): \[{{\Delta }_{1}}=\frac{1}{2}1\times b\] \[{{\Delta }_{2}}=1\times b\]            \[\therefore \,\,\frac{{{\Delta }_{1}}}{{{\Delta }_{2}}}=\frac{1/2}{1}=\frac{1}{2}\]


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