If the side length of a square increases from 5 cm to 7 cm, find the percentage increasein its area.

Correct option is B

Given:

Initial side length of the square: 5 cm

Final side length of the square: 7 cm

Formula Used:

Area of a square = side²

Percentage increase in area = $$\frac{\text{New Area} - \text{Old Area}}{\text{Old Area}} \times 100$$​​

Solution:

Initial area = $$5^2 = 25 \, \text{cm}^2$$​​

New area = $$7^2 = 49 \, \text{cm}^2$$​​

Percentage increase in area = $$\frac{49 - 25}{25} \times 100$$​​

​$$= \frac{24}{25} \times 100 = 96\%$$​​