early 15c., from L.L. dilapidationem, from L. dilapidare "pelt with stones, ruin, destroy," from dis- "asunder" + lapidare "throw stones at," from lapis (gen. lapidis) "stone." "Taken in Eng. in a more literal sense than was usual in Latin" [OED].
1560s, from L. dilapidare, originally "to throw stones;" see dilapidation.