You cannot.
First of all is to know what the shape is. Every geometrical shape/figure have their unique dimensions that maches the given area. Next thing to know is that if it is a circle or a regular polygon then the dimensions can be computed given only the area. example: circle: Area = pi R^2 therefore R = sqrt(Area/pi) square: Area = (side)^2 therefore Side = sqrt(area) If it is not a circle or a regular polygon then knowing just the area is insufficient to find the dimensions. You will need to know more details. example: for a rectangle: you need to know at least a side or the length of the diagonal maybe.
well it is benificial to know the area of a shape because to find the circumference, radius, and diameter u must know the area of the shape well it is benificial to know the area of a shape because to find the circumference, radius, and diameter u must know the area of the shape
We wouldn't know the dimensions without knowing the shape of the area. 10,000 acres is 48,400,000 square yards. That would be a square with 6957.01 yards a side.
The dimension will be a 2D shape
The volume of a room is not sufficient to determine its dimensions. You don't even know if it is a cuboid or another shape!
i don't know sis
It would be benifical to know the area of a shape because without it you cant find the diameter radius or circumference
Unless it's a square, you'd have to know either the width or the length.
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.
Rectangles don't have depth. If your figure has three dimensions, divide the area by the product of the two dimensions you know. The quotient will be the third dimension.
When finding area, you need to know the area formula of the specific object and its associated dimensions. For example, if it's a rectangle, then the dimensions are length and width. So, to find the area you need to be given these dimensions and then use the formula length times the width. Different shapes, such as circles, squares, and trapezoids, will have different area formulas.
You must know what type of geometric shape it is. However, if it is a rectangle (and you know the width), then then the formula is Area/Width=height. Edit your question if it is a different shape.