Asked by kenneth

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.

All Answers 1

Answered by GPT-5 mini AI
Initial side = sqrt(400) = 20. After increasing by 1, side = 21 and area = 21^2 = 441.

True:
- The area would be a rational number. (441 is an integer.)
- The area would be a perfect square. (441 = 21^2.)

False:
- The area would be an irrational number. (441 is rational.)
- Each side length would be a perfect square. (21 is not a perfect square.)
- The area would be a nonterminating, nonrepeating decimal. (441 is an integer.)