the compound adjective 'square-shaped' is a transparent modern english formation. its first element, 'square', traces back through old french to the latin verb 'exquadrare', meaning 'to make square', itself derived from 'quadrus' (a square). the second element, 'shape', is a native english word of germanic origin, related to the concept of creation or form. the suffix '-ed' is a productive english adjectival ending. the word's logic is entirely compositional, directly describing an object that possesses the form of a square, with no metaphorical shift from its constituent parts.

Structure: square (a shape with four equal sides and right angles) + shape (form) + ed (adjective suffix) - square: from old french 'esquare', from latin 'exquadra', meaning 'a square'. functionally, it is the core root specifying the geometric form. - shape: from old english 'gesceap', meaning 'form, creation'. functionally, it is a noun root indicating the concept of form or configuration. - ed: from old english '-ed', '-od', a suffix used to form adjectives from nouns, meaning 'having the quality of'. functionally, it converts the noun phrase into an adjectival compound.