7th Class Mathematics Mensuration Question Bank Mensuration

  • question_answer
    A plot is in the form of a rectangle ABCD having semi-circle on BC as shown in figure. The semi-circle portion is grassy while the remaining plot is without grass. The area of the plot without grass where AB = 60 m and BC = 28 m is:

    A)  \[3722\,{{m}^{2}}\]           

    B)  \[1372\,{{m}^{2}}\]

    C)  \[926\,{{m}^{2}}\]                         

    D) None of these

    Correct Answer: B

    Solution :

        Area of the plot without grass = area of the rectangle ? area of the semi-circle \[=60\times 28-\frac{1}{2}\times \pi \times {{\left( \frac{28}{2} \right)}^{2}}\] \[=60\times 28-11\times 28=28\,(60-11)\] \[=1372\,{{m}^{2}}.\]


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