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The sum of the perimeters of two different squares is 32 centimeters, and the difference between their 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) 4x + 2y + 32, 4x - 2y + 8
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