Let's complete the table step-by-step based on the calculations for the area of Melissa's vegetable garden.
1. The length of the tomato patch is missing for the given area of 338 square feet.
2. We know the length of the tomato patch is 6.5 feet, but the area for this length is missing.
3. The length of the tomato patch is 7 feet, but the area is missing.
First, given the area of 338 square feet, we can determine the missing length:
- When the area is 338 square feet and the length is 6.5 feet, we need to find the corresponding width of the garden:
[tex]\[
\text{width} = \frac{\text{area}}{\text{length}} = \frac{338 \text{ square feet}}{6.5 \text{ feet}} = 52 \text{ feet}
\][/tex]
Next, we will use this width to find the new areas for the other lengths:
- For a length of 6.5 feet, the area is:
[tex]\[
\text{Area} = \text{length} \times \text{width} = 6.5 \text{ feet} \times 52 \text{ feet} = 338 \text{ square feet}
\][/tex]
- For a length of 7 feet, the area is:
[tex]\[
\text{Area} = \text{length} \times \text{width} = 7 \text{ feet} \times 52 \text{ feet} = 364 \text{ square feet}
\][/tex]
Here is the completed table:
\begin{tabular}{|c|c|}
\hline
\begin{tabular}{c}
Length of Tomato Patch \\
(in feet)
\end{tabular} &
\begin{tabular}{c}
Area of Vegetable Garden \\
(in square feet)
\end{tabular} \\
\hline
6.5 & 338 \\
\hline
6.5 & 338 \\
\hline
7 & 364 \\
\hline
\end{tabular}
Therefore, the completed table is:
\begin{tabular}{|c|c|}
\hline
Length of Tomato Patch \\
(in feet)
\end{tabular} &
\begin{tabular}{c}
Area of Vegetable Garden \\
(in square feet)
\end{tabular} \\
\hline
6.5 & 338 \\
\hline
6.5 & 338 \\
\hline
7 & 364 \\
\hline
\end{tabular}
