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The diagonals of a rectangle have the same midpoint, so
... (P + R)/2 = (Q + S)/2
... S = P +R -Q . . . . . . . . multiply by 2, subtract Q
... S = (-2, -5) +(-6, -2) -(-6, -5) = (-2-6+6, -5-2+5)
... S = (-2, -2)
Side lengths are (-2 -(-6)) = 4 and (-2 -(-5)) = 3. The area is the product of the side lengths, so is ...
... Area = 4·3 = 12 square units
