The school gardening club is designing a rectangular flower bed. The length of the bed is \(m\) and the width is \(m\).
1. What is the area of the flower bed in \(m^2\)?
2. If the club wants to put a fence around the bed. What is the perimeter?
3. Is the area of the flower bed rational or irrational number?
4. If the club decides to increase the length to . What will the new area be in \(m^2\)?