The perimeter of a square is twice the perimeter of a rectangle. If the perimeter of the square is 72 cm and the length of the rectangle is 12 cm. what is the difference between the breadth of the rectangle and the Side of the square?

Perimeter of square = 72 cm

Perimeter of rectangle

=\( \Large \frac{72}{2} \)=36 cm

=> \( \Large 2\times (l+b) \)=36

[l and b are dimension of rectangle]

\( \Large 2\times (12+b) \)=36

=> 12 + b = 18

b=18-12=6cm

And side of square = \( \Large \frac{72}{4} \)=18

Difference between breadth of rectangle and side of the square

= 18 - 6 = 12 cm.