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Since the shape of the room is not specified, the dimensions, or the length and the width, can actually be anything that will produce a product of 400. In this way, we can say that

length = n
width=400/n

where n can be any number (except 0).

So length x width = n x 400/n= 400

If you were asking for integer dimensions, the possible ones are:
1 x 400
2 x 200
4 x 100
5 x 80
8 x 50
10 x 40
16 x 25
20 x 20

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Q: What is the dimensions on a 400 sq ft room?
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