Area of square = 64 sq.m
∴ Area = side × side = (side)2
⇒ Side = √area = √64 = √82 = 8
Thus, side is 8 cm.
then, its perimeter= 4 × side = 4 × 8 = 32 cm
breadth of rectangle = 6.5 cm and l = a cm
then perimeter = 2 (6.5 + a) cm
According to question, both perimeter are equal
∴ 2 (6.5 + a) = 32
⇒ 6.5 + a = 16
⇒ a = 16 – 6.5 = 9.5 cm
Area = l × b = 9.5 × 6.5 = 61.75 sq. cm
∵ 64 > 61.75
Thus, length of rectangle = 9.5 cm
Area of square will be more by 2.25 sq. cm.