Length and width must have equal proportions.
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There are 2 dimensions in a square, length and width, which are always the same, due to the nature of a square.
Square footage is two-dimensional, the product of length times width. Unless the shape is a square, the area by itself is not sufficient to definitively ascertain the dimensions.
No, a point has no length, width, or height and thus has no dimensions. It is defined by a set of coordinates, but itself has no dimensions. A line has length but no width or height, and thus has 1 dimension. a plane has length and width, but no height, and thus has 2 dimensions. a space has length, width and height, and thus has 3 dimensions.
Two dimensions (2D) is a shape that has a length and width. For instance, draw a square on a piece of paper and it is in 2D.
If the dimensions of the rectangle are in feet, the perimeter will be in feet as well. The area will be in square feet. The area is length x width. The perimeter is 2 x (length + width) or 2 x length + 2 x width.