• 配布はいふ — distribution
• 散布さんぷ — scattering / dispersal
• 布告ふこく — proclamation
• 布地ぬのじ — cloth material
• 画布がふ — canvas (for painting)

布 shows the idea of spreading out cloth, combining 巾 (cloth/fabric) with 父 as the phonetic element. Over time, the meaning broadened from literal fabric to the abstract sense of spreading, distributing, or proclaiming.