An expecting mother wants to convert a corner of the nursery in her house into a rectangular playpen by enclosing the corner of the room with two fences. if the woman has 10 feet of fencing material, what is the maximum area the playpen could encompass?

Abilliard ball is struck by a cue. it travels 1 0 0 cm 100cm before ricocheting off a rail and traveling another 1 2 0 cm 120cm into a corner pocket. the angle between the path as the ball approaches the rail and the path after it strikes the rail is 4 5 ∘ 45 ∘ . how far is the corner pocket from where the cue initially struck the ball? do not round during your calculations. round your final answer to the nearest centimeter.