A rectangle \(ABCD\) must be constructed on the \(xy\) plane so that the side \(AB\) is parallel to the \(y\) axis. If

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A rectangle \(ABCD\) must be constructed on the \(xy\) plane so that the side \(AB\) is parallel to the \(y\) axis. If the \(x\) and \(y\) coordinates of \(A, B, C,\) and \(D\) are integers between \(-3\) and \(6,\) inclusively, how many different rectangles can be constructed that satisfy these properties?

A. 81
B. 100
C. 2,025
D. 10,000
E. 12,100

Answer: C

Source: Economist
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