Patricia purchased \(x\) meters of fencing. She originally intended to use all of the fencings to enclose a square regio

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Patricia purchased \(x\) meters of fencing. She originally intended to use all of the fencings to enclose a square region, but later decided to use all of the fencings to enclose a rectangular region with length \(y\) meters greater than its width. In square meters, what is the positive difference between the area of the square region and the area of the rectangular region?

(1) \(xy = 256\)
(2) \(y = 4\)

Answer: B

Source: Official Guide