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The area of a room is not enough information to determine its dimensions. First of all, you do not even know that it is a rectangular room: it could be L-shaped.

Next, suppose it is a rectangle. If you let L ≥ 2 metres be its length and B = 4/L metres be its breadth, then whateverthe value of L, the area of the room will be L*B = L*(4/L) = 4 m2. Thus, there are infinitely many possible answers.

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Q: What are the dimensions of a room that has 4 m2?
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