Keenan leaves work to deliver balloon bouquets. He travels 10 blocks west, 10 blocks south, and 10 blocks north. How far and in which direction must Keenan go to get back to his workplace?

Let's break this down:

1. Keenan travels **10 blocks west**.
2. Then, he goes **10 blocks south**.
3. After that, he goes **10 blocks north**.

Since his north and south movements cancel each other out (10 blocks south followed by 10 blocks north results in no net movement in the north-south direction), Keenan ends up only 10 blocks west from his starting point.

### Therefore, Keenan must travel **10 blocks east** to return to his workplace.

Would you like further clarification or details?

Here are 5 related questions:
1. If Keenan had traveled 5 blocks east instead of west, how far would he need to go to return to work?
2. What if Keenan traveled diagonally southwest 10 blocks—how far and in which direction would he need to travel back?
3. How would the answer change if Keenan moved 5 blocks north and 5 blocks south instead of 10?
4. What would happen if Keenan continued going west for an additional 10 blocks after his current path?
5. What is the shortest path Keenan could take to travel 10 blocks west and return without retracing his steps?

**Tip:** Drawing a grid for such movement problems helps visualize the direction and distance more clearly!

Discover how to calculate Keenan's return journey to his workplace by analyzing his west, south, and north movements. This problem involves coordinate geometry concepts and cancellation of movements. Ideal for students in Grades 5-7.

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