https://file.aiquickdraw.com/mathbot/file/1725491175546n64i2h2n.jpg

Let's analyze the problem and diagram from the image. The question asks how wide the table is, given that the width is determined by the sum of six table boards and five gaps.

### Diagram Breakdown:
- **Number of table boards:** 6
- **Width of each board:** \(5 \frac{1}{2}\) inches
- **Number of gaps between boards:** 5
- **Width of each gap:** \( \frac{1}{2} \) inch

### Steps to Solve:
1. **Calculate the total width of the table boards:**
   \[
   \text{Total width of boards} = 6 \times 5 \frac{1}{2} \text{ inches} = 6 \times \frac{11}{2} \text{ inches} = 6 \times 5.5 \text{ inches} = 33 \text{ inches}
   \]

2. **Calculate the total width of the gaps:**
   \[
   \text{Total width of gaps} = 5 \times \frac{1}{2} \text{ inch} = 5 \times 0.5 \text{ inch} = 2.5 \text{ inches}
   \]

3. **Calculate the total width of the table:**
   \[
   \text{Total width of the table} = \text{Total width of boards} + \text{Total width of gaps} = 33 \text{ inches} + 2.5 \text{ inches} = 35.5 \text{ inches}
   \]

### Final Answer:
The width of the table is **35.5 inches**.

Would you like any further details or have any questions?

### Related Questions:
1. What if the gap width were increased to 1 inch? How would this affect the table's width?
2. If only 5 boards were used instead of 6, what would be the new width of the table?
3. How would the table width change if each board were 6 inches wide instead of \(5 \frac{1}{2}\) inches?
4. If a 7th board were added with an additional gap, what would be the new table width?
5. How would reducing the number of gaps to 4 while keeping 6 boards affect the table width?

### Tip:
When dealing with problems involving repeated measurements (like multiple boards or gaps), it helps to first calculate the total for each repeated item before summing them.

Spencer built a picnic table, the end view of which is shown below. How wide is the table? (Hint: Width = 6 table boards + 5 gaps.)

Learn how to calculate the width of a picnic table by summing up the widths of the table boards and gaps. This problem involves basic arithmetic and geometry, suitable for students in Grades 5-7.

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