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The area of the square having end points of one of its diagonals as $$(1, 3)$$ and $$(5, 1)$$ in appropriate units, is
The diagonal length is $$d = \sqrt{(5 - 1)^2 + (1 - 3)^2} = \sqrt{20}$$. The area of a square in terms of its diagonal is $$\frac{d^2}{2} = \frac{20}{2} = 10$$ square units.
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