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To solve the problem of where to place the fence halfway between Callie's house and her neighbor's house, follow these steps:

### Step 1: Understand the problem
The total distance between Callie's house and her neighbor's house consists of two parts:
- The distance from Callie's house to the beginning of the 28-yard gap, which is **10 yards**.
- The distance from that point to the neighbor’s house, which is **28 yards**.

So, the total distance between the two houses is:
\[
10 \text{ yards} + 28 \text{ yards} = 38 \text{ yards}
\]

### Step 2: Find the halfway point
The halfway point between two objects is found by dividing the total distance by 2. Therefore:
\[
\text{Halfway point} = \frac{38 \text{ yards}}{2} = 19 \text{ yards}
\]

### Step 3: Measure the distance from Callie's house
Since Callie's house is 10 yards away from the beginning of the 28-yard gap, we calculate how far the fence should be from her house by subtracting:
\[
19 \text{ yards (halfway point)} - 10 \text{ yards (distance to the gap)} = 9 \text{ yards}
\]

### Final Answer:
The fence should be built **9 yards** away from Callie’s house.

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Would you like further details or clarifications on any step? Here are some related questions you could explore:

1. What if the total distance between the houses was different, say 50 yards instead of 38 yards?
2. How would you calculate the halfway point if the units were in meters instead of yards?
3. How do you find the midpoint between two points on a number line?
4. Can this problem be solved using coordinate geometry?
5. How can the concept of averages relate to finding a midpoint?

**Tip**: Always break down the total distance and calculate step by step when finding midpoints.

Callie wants to build a fence halfway between her house and her neighbor's house. How far away from Callie's house should the fence be built?

Learn how to calculate the halfway point between two houses using the midpoint formula. This problem involves finding the total distance between the houses, calculating the midpoint, and determining the distance from Callie's house to the fence. The total distance is 38 yards, and the fence should be built 9 yards away from Callie's house.

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