6th Class Mathematics Mensuration Question Bank Mensuration Basics

  • question_answer
    If the area of an equilateral triangle \[72\sqrt{3}\,\,c{{m}^{2}},\] find its perimeter.

    A) \[36\sqrt{3}\,\,cm\]                 

    B) \[72\sqrt{3}\,\,cm\]

    C) \[18\sqrt{3}\,\,cm\]                 

    D)  None of these

    Correct Answer: A

    Solution :

    Area of equilateral\[\Delta =\frac{\sqrt{3}}{4}{{(side)}^{2}}\] \[72\sqrt{2}=\frac{\sqrt{3}}{4}\times {{(side)}^{2}}\] \[{{(side)}^{2}}=\frac{72\times 4\times \sqrt{3}}{\sqrt{3}}\,cm\] Side\[=\sqrt{288}=12\sqrt{2}cm\] Perimeter of equilateral \[\Delta =3\times \] Side \[=3\times 12\sqrt{2}=36\sqrt{3}cm\]


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