The side of a square is increased by 25%. What is the percentage increase in its area?

62.5% 57.5% 50% 56.25%

56.25%

25% = \(\frac{1}{4}\) Side                 Old   :   New                         4     :     5 ----------------------------------------- Area                 16    :    25 Area of square = Side2 Percentage change in area = \(\frac{25 - 16 }{16}\) × 100 =  \(\frac{25 - 16 }{16}\) × 100 = 56.25%