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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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To solve the problem, we will go through the following steps: ### Step 1: Understand the Square and Its Vertices The square has vertices at (1,1), (-1,1), (-1,-1), and (1,-1). This means the square is centered at the origin (0,0) and has a side length of 2. **Hint:** Visualize the square on a coordinate plane to understand its dimensions and position. ### Step 2: Identify the Condition for Region S ...
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