Strictly speaking, the only geometric item that has neither length nor width is a "point", but as such, it is not considered a "figure". A geometric figure is defined as a "set of points". I suppose a point could be thought of as a set containing only one element, but that rather contradicts the intention of the definition where it refers to points in the plural.
As Euclid defined it: A figure is that which is contained by any boundary or boundaries.
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Yes.
False...
You can't without one or the other. If you know length then width is the area divided by the length.
In geometry three-dimensional shapes are solid figures or objects or shapes that have three dimensions length, width, and height. Unlike two-dimensional shapes, three-dimensional shapes have thickness or depth. A cube and cuboid are examples of three-dimensional objects, as they have length, width, and height.
length times width