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Mathematics

If the sides of a square are halved, then its area

  1. remains same

  2. becomes half

  3. becomes one-fourth

  4. doubles

Mensuration

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Answer

Let the side of the square = s.

Original area = s × s = s2

If the side is halved, new side = s2\dfrac{\text s}{2}

New area = s2×s2=s24\dfrac{\text s}{2} \times \dfrac{\text s}{2} = \dfrac{\text s^2}{4}

= 14\dfrac{1}{4} × Original area

Thus, the new area becomes one-fourth of the original area.

Hence, option 3 is the correct option.

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