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The number of possibilities is infinite.

Pick any number you want for the length of the floor. It can be any

whole number, fraction, or decimal, as long as it's more than zero

and less than 10-ft. Call it 'L'.

Then the width of the floor is (10 - L), and the perimeter is 20-ft.

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Q: What would the number possibilities for the length and width be for a floor that has a total perimeter of 20 ft?
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