Question

If the side of a square is increased by 25%, then its area gets increased by

• A. 25%
• B. 55%
• C. 40.5%
• D. 56.25%

Answer 1

The correct option is D 56.25%

Side of a square is increased by 25 %

Let the initial side be x

Initial area $=x^2$

New Side $=x+\frac{x}{4}=\frac{5x}{4}$

New area $=\frac{25x^2}{16}$

increase in area $=\frac{9x^2}{16}$

$\therefore$ % increase $=\frac{900}{16}=56.25$ %