A rectangle \(ABCD\) is to be constructed on the \(xy\) plane so that \(AB\) is parallel to the \(y\) axis; if the \(x\)

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A rectangle \(ABCD\) is to be constructed on the \(xy\) plane so that \(AB\) is parallel to the \(y\) axis; if the \(x\) and \(y\) coordinates of \(A,B,C \& D\) are integers between \(-3\) to \(6,\) how many different rectangles can be constructed?

A) 81
B) 100
C) 2025
D) 10000
E) 12100

Answer: C

Source: Economist
Source: — Problem Solving |