Consider the diagram showing the path that Joel biked.

Joel bikes 9 blocks East and 12 blocks North. If he biked back to his starting point using the most direct route, how many blocks would he ride all together?



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To determine the total number of blocks Joel rode, we first need to figure out how far he traveled going east and north, and then calculate the return trip.

  1. Distance moved East: 9 blocks
  2. Distance moved North: 12 blocks

The total distance he rode to reach his final point is: \[ 9 \text{ blocks (East)} + 12 \text{ blocks (North)} = 21 \text{ blocks} \]

Next, Joel returns to his starting point. The most direct route back would be to ride the same distance in the opposite directions: 9 blocks West and 12 blocks South.

So, the return trip also consists of: \[ 9 \text{ blocks (West)} + 12 \text{ blocks (South)} = 21 \text{ blocks} \]

Adding both trips together gives us: \[ 21 \text{ blocks (to the destination)} + 21 \text{ blocks (to return)} = 42 \text{ blocks} \]

Thus, the total number of blocks Joel would ride altogether is: \[ \boxed{42} \]

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