The perimeter of a square is proportional to the square root of the area. What is the constant of proportionality?
A)2
B)4
C)8
D)16

Question

Quizplus · Accepted Answer

The perimeter of a square is given by $P = 4s$, where $s$ is the side length of the square. The area of a square is $A = s^2$. The square root of the area is $\sqrt{A} = s$. Therefore, the perimeter is proportional to the square root of the area with a constant of proportionality of 4, since $P = 4\sqrt{A}$.

The Perimeter of a Square Is Proportional to the Square