The area of a square is `72.25 cm^2`. Find its perimeter (in cm).

Options

A. 68
B. 44
C. 34
D. 85

Answer

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

### Step 1: Understand the relationship between area and side length
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
We know that the area of the square is \( 72.25 \, \text{cm}^2 \). Therefore, we can write:
\[ s^2 = 72.25 \]

### Step 3: Solve for the side length \( s \)
To find \( s \), we take the square root of both sides:
\[ s = \sqrt{72.25} \]

### Step 4: Calculate the square root
Calculating the square root:
\[ s = \sqrt{72.25} = 8.5 \, \text{cm} \]

### Step 5: Calculate the perimeter
The perimeter \( P \) of a square is given by the formula:
\[ P = 4s \]
Substituting the value of \( s \):
\[ P = 4 \times 8.5 = 34 \, \text{cm} \]

### Final Answer
The perimeter of the square is \( 34 \, \text{cm} \).

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