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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20 x 20 what? feet? 400 sq ft.
20 x20 * * * * * And why not 10 ft x 40 ft? And why do you assume it is square or rectangular?
Just take the square root of 1250. The answer, of course, will be in feet.
No way of telling without knowing one of the dimensions and/or the shape of the room. It could be 30 x 50.
400 (sq feet) = 37.161216 sq meters