Side of square = 5 cm

Therefore, Area of square = \( \Large 5^{2} \) = 25 sq. cm.

Breadth of rectangle = \( \Large \frac{5}{2} \) = 2.5 cm

Let x cm be the length of other side of rectangle.

Therefore, Area of rectangle = 2.5x sq. cm

Therefore, 25 = 2.5x

Therefore, \( \Large x = \frac{25}{2.5} = 10\ cm \)