The area of a garden in the shape of a square is 5184 `m^(2)` . Find its perimeter .

Options

A. `=388` m.
B. `=288` m.
C. `=188` m.
D. `=298` m.

Answer

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

### Step 1: Understand the formula for the area of a square.
The area \( A \) of a square can be calculated using the formula:
\[ A = \text{side}^2 \]

### Step 2: Set up the equation using the given area.
We know the area of the garden is 5184 m². Therefore, we can write the equation:
\[ \text{side}^2 = 5184 \]

### Step 3: Solve for the side length of the square.
To find the side length, we need to take the square root of both sides:
\[ \text{side} = \sqrt{5184} \]

Calculating the square root:
\[ \text{side} = 72 \text{ m} \]

### Step 4: Use the side length to find the perimeter.
The perimeter \( P \) of a square can be calculated using the formula:
\[ P = 4 \times \text{side} \]
Substituting the value of the side:
\[ P = 4 \times 72 \]

### Step 5: Calculate the perimeter.
Now, we perform the multiplication:
\[ P = 288 \text{ m} \]

### Final Answer:
The perimeter of the garden is **288 meters**.

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