To determine the perimeter of a square given its area, we need to follow these steps:
1. Identify the formula relating the area to the side length of the square:
The area [tex]\(A\)[/tex] of a square is given by the formula:
[tex]\[
A = \text{side length}^2
\][/tex]
2. Calculate the side length of the square:
Given that the area [tex]\(A\)[/tex] is 64, we can find the side length by taking the square root of the area:
[tex]\[
\text{side length} = \sqrt{64}
\][/tex]
[tex]\[
\text{side length} = 8
\][/tex]
3. Calculate the perimeter of the square:
The perimeter [tex]\(P\)[/tex] of a square is given by the formula:
[tex]\[
P = 4 \times \text{side length}
\][/tex]
Substituting the side length we found:
[tex]\[
P = 4 \times 8
\][/tex]
[tex]\[
P = 32
\][/tex]
Therefore, the perimeter of the square with an area of 64 is 32. Hence, the correct option is:
B. 32
