Final answer:
Darell travels a total of 33 meters after visiting the tire swing, slide, and monkey bars, and then returning to the tire swing.
Step-by-step explanation:
The total distance traveled by Darell can be calculated by summing the individual distances between each pair of playground equipment on his journey. Darell first travels from the tire swing to the slide, which is 9 meters west. Then he goes from the slide to the monkey bars, which are 12 meters south of the tire swing. Finally, he returns to the tire swing from the monkey bars. The total distance is the sum of these three distances.
Distance from tire swing to slide: 9 meters
Distance from slide to monkey bars (directly from tire swing to monkey bars): 12 meters
Distance from monkey bars back to tire swing: 12 meters
Total Distance Traveled = 9 meters + 12 meters + 12 meters = 33 meters
Therefore, the total distance traveled by Darell is 33 meters, which corresponds to option a).