The area of a square is `30.25 cm^(2)`. Find the perimeter (in cm.).

Options

A. 44
B. 23
C. 22
D. 46

Answer

To find the perimeter of a square when the area is given, we can follow these steps:

### Step 1: Understand the formula for the area of a square.
The area \( A \) of a square is given by the formula:
\[ A = s^2 \]
where \( s \) is the length of one side of the square.

### Step 2: Set up the equation using the given area.
In this case, the area is given as \( 30.25 \, \text{cm}^2 \). Therefore, we can write:
\[ s^2 = 30.25 \]

### Step 3: Solve for the side length \( s \).
To find \( s \), we take the square root of both sides:
\[ s = \sqrt{30.25} \]

Calculating the square root:
\[ s = 5.5 \, \text{cm} \]

### Step 4: Calculate the perimeter of the square.
The perimeter \( P \) of a square is given by the formula:
\[ P = 4s \]
Substituting the value of \( s \):
\[ P = 4 \times 5.5 \]
Calculating the perimeter:
\[ P = 22 \, \text{cm} \]

### Final Answer:
The perimeter of the square is \( 22 \, \text{cm} \).

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