10th Class Mathematics Mensuration Question Bank Mensuration

  • question_answer
    The area of the figure ABCDEFGA is

    A) \[\text{1175 c}{{\text{m}}^{\text{2}}}\]            

    B)         \[\text{1185 c}{{\text{m}}^{2}}\]

    C) \[\text{1195 c}{{\text{m}}^{\text{2}}}\]           

    D)         \[\text{1199 c}{{\text{m}}^{\text{2}}}\]

    Correct Answer: A

    Solution :

     Area of \[\Delta \,ABG=\frac{1}{2}\times 10\times 15=75\,c{{m}^{2}}\] Area of rectangle \[BCFG=60\times 10=600\,c{{m}^{2}}\] Area of trapezium \[CDEF=\frac{1}{2}\times 25\,(30+10)\]                 \[=500\,c{{m}^{2}}\] Required area \[=75+600+500=1175\text{ }c{{m}^{2}}\]


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