The area of a square is 400 square units.
Select all the statements that would be true if the length of each side of the square increased by one unit.

A:The area of the square would be a rational number.

B:The area of the square would be an irrational number.

C:Each side length would be a perfect square.

D: The area of the square would be a perfect square.

E:The area of the square would be a nonterminating, nonrepeating decimal.