If the perimeter of a square is 64 cm, what would be its area?

Correct Answer: 256 cm²

Step-by-Step Explanation:

Step 1: Understand the given information
We are given that the perimeter of a square is 64 cm.

Step 2: Formula for the perimeter of a square
A square has four equal sides. Let the side length of the square be $s$.
The perimeter ($P$) of a square is given by the formula:

$P=4\times s$

Step 3: Calculate the side length of the square
Substitute the given perimeter into the formula:

$64=4\times s$

Solving for $s$:

$s=\frac{64}{4}=16\text{ cm}$

Step 4: Calculate the area of the square
The area ($A$) of a square is given by the formula:

$A=s^2$

Substitute $s=16\text{ cm}$ into the area formula:

$A={\left(16\right)}^2=256\text{ cm}{}^2$

Therefore, the area of the square is 256 cm².