An absorbent article (20) has a longitudinal-direction (22), a lateral cross-direction (24), an intermediate portion (76) interposed between a pair of longitudinally opposed end portions, and a pair of longitudinally-extending, laterally-opposed side edge regions. The article comprises a backsheet (28), a liquid-permeable topsheet (26) and an absorbent body (30) sandwiched between the backsheet (28) and the topsheet (26). At least one pair of wing-panels (42, 42) are operatively joined to the intermediate portion (76) of the article (20). Each wing-panel (42, 42) extends laterally from at least one corresponding lateral side edge region, and each wing-panel (42, 42) is configured to wrap about a wearer's undergarment. A panel fastener (44, 44a) can be joined to each wing-panel (42, 42), with each panel fastener (44, 44a) configured to operatively secure its corresponding wing-panel (42, 42) about the undergarment. In a particular aspect, an overall total, wing-panel area in a first lateral-half (60) of the article can be bilaterally asymmetric with respect to an overall total, wing-panel area in a second lateral-half (60a) of the article. In another aspect, each panel fastener (44, 44a) can be configured to attach to the undergarment of the wearer at an attachment location which has a fastener end-spacing (70). In desired arrangements, the fastener end-spacing can be not more than about 18% of an overall length (48) of the absorbent body (30).