he area of the square shown is 2 square centimeters.
Which of the following describes 4s, the perimeter of the square in centimeters?
A.
It is an irrational number, since s is rational, and 4 times a rational number is irrational.
B.
It is a rational number, since s is irrational, and 4 times an irrational number is rational.
C.
It is an irrational number, since s is irrational, and 4 times an irrational number is irrational.
D.
It is a rational number, since s is rational, and 4 times a rational number is rational.
D. It is a rational number, since s is rational, and 4 times a rational number is rational.
Since the area of the square is a rational number (2 square centimeters), the side length s must also be rational. Therefore, the perimeter, which is 4 times the side length, must also be rational.