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You cannot. There are infinitely many combinations for the sides of a room that will yield an area of 5000 square feet even after you simplify the problem and assume that the room is rectangular in shape.

Suppose the room is L feet long where L > sqrt(5000).

Then let W = 5000/L feet.

The area of the room, which is L feet long and W feet wide, is L*W = L*(5000/L) = 5000 square feet. That is true whatever the value of L. And since L can have any value greater than approx 70.71 feet, there are infinitely many possibilities.

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