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Consider a square with vertices at (1,1)...

Consider a square with vertices at `(1,1),(-1,1),(-1,-1),a n d(1,-1)dot` Set `S` be the region consisting of all points inside the square which are nearer to the origin than to any edge. Sketch the region `S` and find its area.

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`(4)/(3) (4sqrt2 - 5)` sq. units
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