5th Class Mathematics Mensuration Question Bank Mensuration

  • question_answer
    On increasing each side of a square by 25%, the increase in area will be

    A)  25%

    B)  55%         

    C)  40.5%

    D)  56.25%

    Correct Answer: D

    Solution :

     \[x=\] Side before increase \[{{x}^{2}}=\]Area before increase \[\frac{125x}{100}=\]Side after increase \[\frac{25{{x}^{2}}}{16}=\]Area after increase Increase in area= \[\frac{\frac{25{{x}^{2}}-16{{x}^{2}}}{16}\times 100%}{{{x}^{2}}}\] \[=\frac{9{{x}^{2}}}{16{{x}^{2}}}\times 100=\frac{225}{4}=56.25%\]


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