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Rectangular path with left/right turns: find Jayant’s final position from X Starting at point X, Jayant walks: 15 m West → left 20 m (South) → left 15 m (East) → right 12 m (South). How far and in which direction is Jayant from X at the end? Choose the correct option.

Q: Rectangular path with left/right turns: find Jayant’s final position from X Starting at point X, Jayant walks: 15 m West → left 20 m (South) → left 15 m (East) → right 12 m (South). How far and in which direction is Jayant from X at the end? Choose…

Step-by-step coordinates Start X = (0,0) 15 m West → (−15, 0) Left from West ⇒ South 20 → (−15, −20) Left from South ⇒ East 15 → (0, −20) Right from East ⇒ South 12 → (0, −32) Distance and direction From (0,0) to (0, −32) = 32 m, South.

Difficulty: Easy

32 m, South
47 m, East
42 m, North
27 m, South

Correct Answer: 32 m, South

Explanation:

Step-by-step coordinates
Start X = (0,0) 15 m West → (−15, 0) Left from West ⇒ South 20 → (−15, −20) Left from South ⇒ East 15 → (0, −20) Right from East ⇒ South 12 → (0, −32)

Distance and direction
From (0,0) to (0, −32) = 32 m, South.

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