Does change the permeter does that mean the area will change?

Not necessarily. Let's say you have a rectangle that measures 4cm by 8cm. The perimeter is 24 and the area is 32. If the rectangle suddenly changes to 1by 32, and then to 2 by 16, and then to 3.2 by 10, and then to 5 by 6.4, it will go through five different perimeters, but its area will never change.