If the side of a square is increased by 40 then its area will be increased by ........

Quantitative Aptitude (MTS) Percentage

If the side of a square is increased by 40%, then its area will be increased by:

This questions was previously asked in

SSC MTS 26th October 2021 Shift-3

90%

96%

92%

86%

- Original Side Length: Let's assume the side length of the square is \( s \).

- New Side Length: When the side is increased by 40%, the new side length becomes \( s + 0.4s = 1.4s \).

- Original Area: The area of the original square is \( s^2 \).

- New Area: The area of the new square is \( (1.4s)^2 = 1.96s^2 \).

- Increase in Area: The increase in the area is \( 1.96s^2 - s^2 = 0.96s^2 \).

- Percentage Increase: The percentage increase in area is \( \left(\frac{0.96s^2}{s^2}\right) \times 100\% = 96\%\).

- Correct Option: Option: 2, 96%

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