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Area of the region bounded by $$|x| + |y| = 2012$$ is ____________
Correct Answer: 8096288
The curve is a square with vertices $$(\pm 2012, 0)$$ and $$(0, \pm 2012)$$, whose diagonals are both 4024. Its area is $$\frac{4024 \times 4024}{2} = 2 \times 2012^2 = 8096288$$ sq. units.
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