A square piece of land has each side equal to `100m`. If `3` layers of metal wire has to be used to fence it, what is the length of the wire needed?

Options

A. `800m`
B. `1200m`
C. `2000m`
D. `1600m`

Answer

To solve the problem step by step, we need to determine the length of the wire needed to fence a square piece of land with three layers of wire.

### Step 1: Understand the dimensions of the square
The question states that each side of the square piece of land is equal to 100 meters.

### Step 2: Calculate the perimeter of the square
The perimeter (P) of a square can be calculated using the formula:
\[ P = 4 \times \text{side} \]
Substituting the value of the side:
\[ P = 4 \times 100 \, \text{m} = 400 \, \text{m} \]

### Step 3: Calculate the total length of wire needed for three layers
Since the question specifies that three layers of wire are needed, we multiply the perimeter by 3:
\[ \text{Total length of wire} = \text{Perimeter} \times 3 \]
Substituting the perimeter we calculated:
\[ \text{Total length of wire} = 400 \, \text{m} \times 3 = 1200 \, \text{m} \]

### Conclusion
The length of the wire needed to fence the square piece of land with three layers is **1200 meters**.

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