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It looks like you have provided a table showing lengths of a tomato patch and corresponding areas of the vegetable garden, but there are some missing values that need to be completed. 

Here's how we can proceed:

1. To solve this, we need to understand the relationship between the length of the tomato patch (in feet) and the area of the vegetable garden (in square feet). Based on the given information, this relationship is likely linear or quadratic (i.e., area = length × some factor).

2. You provided:
   - Length = 6.5 feet, Area = 147.25 square feet.
   - Length = 7 feet, missing area.
   - Missing length, Area = 338 square feet.

Let's work out the pattern. I'll calculate the missing values.

I'll calculate these now.The missing values have been calculated as follows:

1. For an area of 338 square feet, the corresponding length of the tomato patch is approximately **14.92 feet**.
2. For a length of 7 feet, the corresponding area of the vegetable garden is approximately **158.58 square feet**.

Let me know if you'd like more details or if you have any questions.

Here are some related questions to expand on the problem:
1. How can you verify if the relationship between length and area is truly linear?
2. How would the calculations change if the relationship was quadratic instead of linear?
3. Can you think of other real-life examples where similar relationships between length and area exist?
4. What might affect the linearity of the relationship in a physical garden?
5. If Melissa wants to double the area, what should the new length be?

**Tip:** Always check for units when working with area and length in geometry problems!

Melissa wants to make a table representing the area of her vegetable garden for a variety of different lengths of the tomato patch. Complete the table by typing the correct answer in each box.

Learn how to calculate the area of a vegetable garden for different lengths of a tomato patch. This example uses algebraic concepts to solve for missing values in the table. Suitable for students in Grades 6-8.

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