Question

what is the perimeter of a square whose area is $\frac{1}{25}$ square units? units

Explanation:

Step1: Find the side - length of the square

The area formula of a square is $A = s^{2}$, where $A$ is the area and $s$ is the side - length. Given $A=\frac{1}{25}$, we solve for $s$: $s=\sqrt{A}=\sqrt{\frac{1}{25}}=\frac{1}{5}$ (since side - length is non - negative).

Step2: Calculate the perimeter of the square

The perimeter formula of a square is $P = 4s$. Substitute $s=\frac{1}{5}$ into the formula: $P = 4\times\frac{1}{5}=\frac{4}{5}$.

Answer:

$\frac{4}{5}$