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Answer:

Yes it will fit

Step-by-step explanation:

The area of the bedroom, since it's a square, would be 12ft * 12ft = 144ft²

The area of the circular rug would be πr² = π(40.82/2π)² = 132.6ft²

Since 144ft²>132.59ft², this means that the 132.6ft² circular rug would be able to fit into the 144ft² bedroom.

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