Multiple Choice Questions on If the side of an equilateral triangle is increased by 34 then by what percentage will its are........... for SSC CGL Exam Preparation

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     If the side of an equilateral triangle is increased by 34%, then by what percentage will its area increase?

    This questions was previously asked in
    Combined Graduate level Examination 2023 Tier I

    70.65% 

    Incorrect Answer

    79.56% 

    Correct Answer

    68.25% 

    Incorrect Answer

    75.15%

    Incorrect Answer
    Explanation:

    - When the side of an equilateral triangle is increased by 34%, the new side becomes 1.34 times the old side.

    - The area formula for an equilateral triangle is proportional to the square of its side, i.e., Area ? (side)\(^2\).

    - New area/Old area = (1.34)\(^2\) = 1.7956

    - So, percentage increase = (1.7956 - 1) x 100 = 79.56%

    - Option 2, 79.56% is the correct answer.

    - The other options (70.65%, 68.25%, 75.15%) are incorrect as they do not match this calculation.

    - Therefore, the correct answer is option 2.


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