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First of all, the information given in the question does not entitle you to assume that the room is rectangular. The room I an in now is an irregular octagon: it is basically a rectangle with a trapezium shaped bay window.

Even if you assume it is rectangular, the area of the room does not provide enough information.

Let L be any number greater than (or equal to) 10. And let B = 100/L.

Then a room which is L ft x B ft has an area of L*(100/L) = 100 square feet.

Since the choice of L is arbitrary there are infinitely many choices for L and so infinitely many possible answers to the question.

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11y ago

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Q: What are the dimensions of a 100 square foot room?
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