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The problem asks to find the total number of miles Margo hiked during the past two months, and suggests drawing arrays or area models to help. Let's break it down mathematically:

- Last month, Margo hiked **12 miles** each time for **13 times**.
- This month, Margo hiked **14 miles** each time for **12 times**.

### Total miles for last month:
\[ 12 \times 13 = 156 \, \text{miles} \]

### Total miles for this month:
\[ 14 \times 12 = 168 \, \text{miles} \]

### Total for both months:
\[ 156 + 168 = 324 \, \text{miles} \]

So, Margo hiked a total of **324 miles** during the past two months.

### Arrays or Area Models Explanation:
- **For 12 miles, 13 times**: You can visualize a **12 by 13** array (12 rows and 13 columns) representing the total number of miles for last month.
- **For 14 miles, 12 times**: You can visualize a **14 by 12** array (14 rows and 12 columns) for this month’s hikes.

Would you like a further breakdown or details on how to draw the arrays?

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Here are 5 questions that build upon this:
1. How would the result change if Margo hiked 15 miles 10 times next month?
2. Can you create a similar problem but for a different physical activity like swimming?
3. What would be the difference in total miles if Margo had hiked 11 miles each time for 13 times last month?
4. How do area models help visualize multiplication problems like this?
5. Can you explain why multiplying two numbers can be represented as an area of a rectangle?

**Tip:** Breaking problems into smaller parts often makes complex calculations much easier to manage!

Margo hiked 12 miles 13 times last month. She hiked 14 miles 12 times this month. Draw arrays or area models to find the number of miles Margo hiked during the past two months.

Learn how to find the total number of miles Margo hiked over two months using arrays or area models. Understand the multiplication process: 12 miles 13 times last month and 14 miles 12 times this month, for a total of 324 miles. This problem is ideal for Grade 4-5 students.

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