If I only know the area, I can't tell you the dimensions. It all depends on the shape. A circle and a square give two different answers, and there are millions of rectangles, with different dimensions, that are all perfectly good and completely correct answers.
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If the area is a square in feet then its side lengths are 10 feet because 10*10 = 100 square feet
Something with measurements in three different dimensions would give you a volume in cubed feet not an area in square feet. 2' x 8' x 10' = 160 cubic feet.
To measure 350 square feet, a room can have various dimensions, as the area is the product of length and width. For example, a room could be 25 feet by 14 feet, or 35 feet by 10 feet, among other combinations. The key is that the total area calculated from the chosen dimensions must equal 350 square feet.
If the given dimensions are in feet then it is: 20*10 = 200 square feet
The area is: 10*10 = 100 square cm