Length IS a dimension (in space). It has no thickness.
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This is another definition of a line. It has only one dimension: infinite length.
There are typically three words in geometry that are undefined. The first is "point." A point has no dimension, length, width, or thickness. The second is "line." A line has no thickness and goes on indefinitely in both directions. The third undefined term is "plane." A plane has no thickness and has no boundaries.
This would be a line, which has no width, no thickness and no endpoints, but has infinite length.
The dimension is one of length. The value depends on the specific case.
squared units of length.