Seattle set a team record for wins, going 91-71 and finishing a half-game behind AL West champion Oakland.
The Athletics did not have to play a makeup game Monday at Tampa Bay because they already held the tiebreaker over the Mariners, going 9-4 against them.
Seattle, which led the West for most of the second half, will make their first playoff appearance since 1997. The Mariners open the best-of-5 first round at the Chicago White Sox on Tuesday while the Athletics start later the same day at home against the New York Yankees.
Cleveland beat Toronto 11-4 earlier in the day, temporarily keeping its playoff hopes alive. But Oakland's 3-0 win and the victory by Seattle eliminated the Indians.
Sasaki got his 37th save, breaking the major league record for rookie set by Todd Worrell for St. Louis in 1986.
Seattle's Raul Ibanez chipped in with a two-run double in a three-run seventh inning as the Mariners snapped a 2-2 tie. Bell led off with his 11th homer, hitting reliever Shigetoshi Hasegawa's first pitch over the fence in left.
Rodriguez had led off the fourth with his 41st homer, driving Mark Petkovsek's breaking ball over the wall in left, a 422-foot shot that pulled the Mariners within 2-1.
Petkovsek, a reliever making only his second AL start, filled in for Scott Schoeneweis, who was a late scratch because of stiffness in his lower back.
Mike Cameron tied it at 2 with an RBI double in the Seattle sixth. After Petkovsek walked Joe Oliver with one out, Ben Weber relieved. Oliver went to second on a wild pitch and move to third on McLemore's groundout, then scored on Cameron's hit.
Sele got off to a shaky start. Darin Erstad led off the Angels' first inning with a double, Scott Spiezio followed with a run-scoring single, then Sele walked Mo Vaughn and Tim Salmon to load the bases.
Rhodes pitched out of a bases-loaded jam after taking over for Sele with two out and two on in the sixth. A fielding error by Rodriguez on a href="http://www.sportsline.com/u/baseball/mlb/players/player_26039.htm" target="external">Adam Kennedy's grounder left the bases loaded, but Rhodes struck out Benji Gil to end that threat.
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