A house owner is designing a rectangular patio using square tiles. The length of the patio is represented by \((3x+5)\) tiles, and the width is represented bt \((2x-1)\) tiles. Each tile measures \(1\) \(foot\) \(wide\). The homeowner wants to know the total area of the patio in square feet and compare it with the available space in the backyard.
1. Write the polynomial that represents the total number of tiles needed for the patio.
2. If each tile is \(1\) \(foot\) \(wide\), what is the area of the patio when \(x=3\)?
3. If the homeownwer decides to increase the length by \(2\) tiles and decrease the width by \(1\) tile, what is the new polynomial representing the number of tiles?
4. If \(x=2\), what is the perimeter of the patio in terms of tiles?