Question

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?



NOTE: To receive credit for the question, type the correct number value answer in the blank provided.

(1 point)
blocks

Answer 1

To calculate the total number of blocks Joel biked, we first find out how many blocks he traveled in each direction:

1. Joel bikes 9 blocks East.
2. Joel bikes 12 blocks North.

To return to his starting point using the most direct route, he would need to bike the same amount in the opposite directions:

- He has to bike 9 blocks West to go back the East distance.
- He has to bike 12 blocks South to go back the North distance.

Now we can calculate the total distance he biked:

1. Outbound trip (to the final destination):
- East: 9 blocks
- North: 12 blocks
- Total outbound: 9 + 12 = 21 blocks

2. Return trip (back to the starting point):
- West: 9 blocks
- South: 12 blocks
- Total return: 9 + 12 = 21 blocks

Now, add the outbound and return trips together to get the total distance:

Total distance = Outbound + Return = 21 + 21 = 42 blocks.

Therefore, the total number of blocks Joel would ride all together is **42**.