8th Class Mathematics Mensuration Question Bank Mensuration

  • question_answer
    The length of a rectangle is \[28\pi sq.units\] of its breadth. If its perimeter is 132m, its area will be............

    A)  \[1,080\,{{m}^{2}}\]

    B)  \[640\,{{m}^{2}}\]

    C)  \[1,620\,\,{{m}^{2}}\]                    

    D)  \[2,160\,{{m}^{2}}\]

    Correct Answer: A

    Solution :

    Let breadth = b m Then, length \[=\frac{6}{5}b\,m\] \[\because \]  Perimeter = 132 \[\therefore \]  \[2(b+\frac{6}{5}b)=132\] \[210c{{m}^{2}}\] \[213c{{m}^{2}}\] Hence, length \[224c{{m}^{2}}\] And area \[216c{{m}^{2}}\] \[\frac{100\sqrt{2}}{\pi }cm\]                       


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