8th Class Mathematics Mensuration Question Bank Mensuration

  • question_answer
    Each side of an equilateral triangle is increased by 1.5%. The percentage increase in its area is:

    A) 3.02%      

    B) 3%

    C) 4.5%                           

    D) 5.7%

    Correct Answer: A

    Solution :

    Let the initial side be a. Then final side \[=1:x\] Initial area of the triangle \[2\pi r=44\] Final area of the triangle \[r=\frac{44}{2\times \frac{22}{7}}=7m\] The percentage increase in area \[=\pi {{r}^{2}}=\frac{22}{7}\times 7\times 7=154{{m}^{2}}\] \[\frac{\pi {{d}^{2}}}{4}=2464\]              


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