The area of a rectangular park is `3392 m^(2)` and its breadth in 53 meters Find the perimeter of the park .

Options

A. `=234` m.
B. `=334` m.
C. `=434` m.
D. `=534` m.

Answer

To solve the problem step by step, we will find the length of the rectangular park first using the area formula, and then we will calculate the perimeter.

### Step 1: Understand the formula for the area of a rectangle
The area \( A \) of a rectangle is given by the formula:
\[ A = \text{length} \times \text{breadth} \]

### Step 2: Substitute the known values into the area formula
We know the area \( A = 3392 \, m^2 \) and the breadth \( b = 53 \, m \). We can substitute these values into the area formula to find the length \( l \):
\[ 3392 = l \times 53 \]

### Step 3: Solve for the length
To find the length, we rearrange the equation:
\[ l = \frac{3392}{53} \]
Now, we perform the division:
\[ l = 64 \, m \]

### Step 4: Understand the formula for the perimeter of a rectangle
The perimeter \( P \) of a rectangle is given by the formula:
\[ P = 2 \times (\text{length} + \text{breadth}) \]

### Step 5: Substitute the values of length and breadth into the perimeter formula
Now that we have the length \( l = 64 \, m \) and the breadth \( b = 53 \, m \), we can substitute these values into the perimeter formula:
\[ P = 2 \times (64 + 53) \]

### Step 6: Calculate the perimeter
First, we calculate the sum inside the parentheses:
\[ 64 + 53 = 117 \]
Now, we multiply by 2:
\[ P = 2 \times 117 = 234 \, m \]

### Final Answer
The perimeter of the park is \( 234 \, m \).

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