Question

a square has an area of 47 square units. what is the side length of this square? use square root notation to write the exact value of a side length of a square with an area of 47 square units. s = area = 47 units² 47² √7 √47 47

Explanation:

Step1: Recall area formula for square

The area formula of a square is $A = s^{2}$, where $A$ is the area and $s$ is the side - length.

Step2: Solve for side - length

Given $A = 47$, we have $s^{2}=47$. Solving for $s$, we get $s=\sqrt{47}$ (we consider the positive square root since side - length is non - negative).

Answer:

$\sqrt{47}$