Assume that the length of the original rectangle is x cm and the width is y cm.
Then you can get the answer from the question.
(x+3)(y+3)-xy=75
That is, 3(x+y)+9=75.
That is, x+y=22.
The circumference of the original rectangle = 2 (x+y) = 44cm.
So, the circumference of the rectangle is 44 cm.