The Academy 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 \(sq. m\)?
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?