Two boxes have to fit in a square arena of side `30m`. Four poles are stuck into the ground at the four corners of the arena. A rope fence is to be put around the poles to keep the spectators away. What length of rope will be required if `2m` are required for tying the knots?

Options

A. `122 m`
B. `120 m`
C. `132 m`
D. `118 m`

Answer

To find the total length of rope required to fence the square arena, we will follow these steps:

### Step 1: Calculate the Perimeter of the Square Arena
The formula for the perimeter \( P \) of a square is given by:
\[ P = 4 \times \text{side length} \]
Here, the side length of the arena is \( 30 \, m \).

### Calculation:
\[ P = 4 \times 30 = 120 \, m \]

### Step 2: Add Extra Length for Tying Knots
According to the problem, we need an additional \( 2 \, m \) of rope for tying the knots.

### Calculation:
\[ \text{Total Length of Rope} = \text{Perimeter} + \text{Extra Length} \]
\[ \text{Total Length of Rope} = 120 \, m + 2 \, m = 122 \, m \]

### Final Answer:
The total length of rope required is \( 122 \, m \).

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