Mathematically you can call the short side width and long side length or you can call the short side length and long side width. In practice, usually we specify the width is shorter than the length.
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No, not necessarily! In fact, much of the time, the length of an object usually longer the width of it. For examples, consider what you know just by seeing them of these LxW objects:
width=5 length=12
8 and 6
the length of a rectangle is 5 more then the width. Find the perimeter and the area of the rectangle
49
3 and 7