Understanding the Problem
To find the perimeter of a square when the area is given, we first need to understand the relationship between the area and the sides of a square. The area (A) of a square is calculated using the formula:
A = side × side = side²
Given that the area of the square is 144 sq cm, we can derive the side length from this equation.

Finding the Side Length
To find the side length (s), we can rearrange the area formula:
- Area = s²
- Therefore, s = √Area
Now, substituting the given area:
- s = √144
- s = 12 cm
This means each side of the square measures 12 cm.

Calculating the Perimeter
The perimeter (P) of a square is calculated using the formula:
P = 4 × side
Now, substituting the side length we found:
- P = 4 × 12 cm
- P = 48 cm

Conclusion
In summary, the perimeter of the square with an area of 144 sq cm is:
- P = 48 cm
This calculation shows the relationship between the area and perimeter of a square, demonstrating that understanding one can help find the other efficiently.