Question

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.
The area of the square would be a rational number.
The area of the square would be an irrational number.



Each side length would be a perfect square.
The area of the square would be a perfect square.
The area of the square would be a nonterminating, nonrepeating decimal

Answer 1

True:
- The area of the square would be a rational number.
- The area of the square would be a perfect square.

Reason: side length = sqrt(400) = 20, after increase = 21, area = 21^2 = 441 (an integer, hence rational and a perfect square). The other statements are false.