The current area of Mr. Milstein's kitchen table is:
![=17(1)/(2)\text{ square fe}e\text{t}](https://img.qammunity.org/2023/formulas/mathematics/college/1fffk8as6waqtmpjuxxqnvnelnbj2birbq.png)
The new width of Mr. Milstein's kitchen table = 5 feet
The area of the new kitchen table if the length is l is given by
![\text{ Area (A) = length x width = 5l}](https://img.qammunity.org/2023/formulas/mathematics/college/uuu0khpgrtwl8s7ewjwqwzjc0mkzs6xe7b.png)
Note that the area of the proposed kitchen table should be larger than the current one.
![\begin{gathered} \text{ The current area = }17(1)/(2)\text{ square fe}e\text{t} \\ \text{ The new area = 5 x l = 5l} \\ \text{ Therefore,} \\ \text{ proposed area > new area} \\ \text{ 5l >}17(1)/(2)\text{ square fe}e\text{t} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/l3qcjmpj28uyrrwpf8wl7hmj63v1ktpcqv.png)
Therefore,
![\text{ 5l >}17(1)/(2)\text{ square fe}e\text{t can be used to get the length of the new table}](https://img.qammunity.org/2023/formulas/mathematics/college/em7ttgezp2tv19ievb0tk12r3xixmve0xq.png)
The correct option is F