A square field has its area equal to 289 sq m. Find its side and perimeter.

Answer

To solve the problem step by step, we will find the side length of the square field and then calculate its perimeter.

### Step 1: Understand the formula for the area of a square.
The area \( A \) of a square is given by the formula:
\[ A = \text{side} \times \text{side} = \text{side}^2 \]

### Step 2: Set up the equation using the given area.
We know that the area of the square field is 289 sq m. Therefore, we can write:
\[ \text{side}^2 = 289 \]

### Step 3: Solve for the side length.
To find the side length, we take the square root of both sides:
\[ \text{side} = \sqrt{289} \]
Calculating the square root:
\[ \text{side} = 17 \text{ m} \]

### Step 4: Calculate the perimeter of the square.
The perimeter \( P \) of a square is given by the formula:
\[ P = 4 \times \text{side} \]
Substituting the value of the side we found:
\[ P = 4 \times 17 = 68 \text{ m} \]

### Final Answer:
- The side length of the square field is **17 m**.
- The perimeter of the square field is **68 m**.

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