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Let's break down the movements of X and Y step by step:

  1. X travels parallel to the east for 7 km.
  2. Y turns left, which means Y changes direction by 90 degrees counterclockwise.
  3. After turning left, Y covers a distance of 2 km in the new direction.
  4. X turns right, which means X changes direction by 90 degrees clockwise.
  5. After turning right, X covers a distance of 5 km in the new direction.

To calculate the total distance covered by both X and Y, we can add up the distances traveled by each:

Distance covered by X = 7 km + 5 km = 12 km Distance covered by Y = 2 km

Total distance covered by both X and Y = Distance covered by X + Distance covered by Y = 12 km + 2 km = 14 km

Therefore, both X and Y cover a total distance of 14 kilometers.

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