The area of a square is 42.25 cm². Find its perimeter (in cm).

Options

A. 52
B. 26
C. 28
D. 56

Answer

To find the perimeter of a square when given its area, 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:
\[ A = \text{side}^2 \]
where "side" is the length of one side of the square.

### Step 2: Set up the equation using the given area.
We know the area of the square is 42.25 cm². Thus, we can write:
\[ \text{side}^2 = 42.25 \]

### Step 3: Solve for the side length.
To find the side length, we take the square root of both sides:
\[ \text{side} = \sqrt{42.25} \]

### Step 4: Calculate the square root.
Calculating the square root:
\[ \text{side} = 6.5 \, \text{cm} \]

### Step 5: Use the side length to find the perimeter.
The perimeter (P) of a square is given by the formula:
\[ P = 4 \times \text{side} \]
Substituting the value of the side:
\[ P = 4 \times 6.5 \]

### Step 6: Calculate the perimeter.
Now, calculate the perimeter:
\[ P = 26 \, \text{cm} \]

### Final Answer:
The perimeter of the square is 26 cm.

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