Answer :
Let's fill in the table step-by-step based on the details provided.
1. The area of the vegetable garden when the length of the tomato patch is unknown but the area is 338 square feet is:
- The length of the tomato patch for this area is [tex]\(6.5\)[/tex] feet (given in the results).
So the first box for the length of the tomato patch when the area is 338 square feet is 6.5 feet.
2. The exact area of the vegetable garden when the length of the tomato patch is [tex]\(6.5\)[/tex] feet is:
- The area corresponding to this length is [tex]\(338.0\)[/tex] square feet (given in the results).
3. The table already provides that when the length of the tomato patch is [tex]\(7\)[/tex] feet, the area is [tex]\(147.25\)[/tex] square feet.
Thus, the completed table is:
[tex]\[ \begin{array}{|c|c|} \hline \text{Length of Tomato Patch (in feet)} & \text{Area of Vegetable Garden (in square feet)} \\ \hline 6.5 & 338 \\ \hline 6.5 & 338.0 \\ \hline 7 & 147.25 \\ \hline \end{array} \][/tex]
It's important to note the values were both not initially correctly matched but now align well with the given data and calculated results. This ensures proper correspondence between the lengths and areas.
1. The area of the vegetable garden when the length of the tomato patch is unknown but the area is 338 square feet is:
- The length of the tomato patch for this area is [tex]\(6.5\)[/tex] feet (given in the results).
So the first box for the length of the tomato patch when the area is 338 square feet is 6.5 feet.
2. The exact area of the vegetable garden when the length of the tomato patch is [tex]\(6.5\)[/tex] feet is:
- The area corresponding to this length is [tex]\(338.0\)[/tex] square feet (given in the results).
3. The table already provides that when the length of the tomato patch is [tex]\(7\)[/tex] feet, the area is [tex]\(147.25\)[/tex] square feet.
Thus, the completed table is:
[tex]\[ \begin{array}{|c|c|} \hline \text{Length of Tomato Patch (in feet)} & \text{Area of Vegetable Garden (in square feet)} \\ \hline 6.5 & 338 \\ \hline 6.5 & 338.0 \\ \hline 7 & 147.25 \\ \hline \end{array} \][/tex]
It's important to note the values were both not initially correctly matched but now align well with the given data and calculated results. This ensures proper correspondence between the lengths and areas.