The sum of the perimeters or two different squares is 32 centimeters , and the difference between there perimeters is 8 centimeters. if x represents the side length of the larger square and y represents the side length of the smaller square , which of the following systems of equations could be used to find the dimensions of the squares?

a. x+y=32
x-y=8

b. 4x+4y=32
4x-4y=8

c. 2x+2y=32
2y-2x=8

d. 2x+2y=32
4x-2y=8