A rectangular piece of land measures 4.5 cm by 2.5 cm . Each side is to be fenced with four rows of wires . What is the total length of wire needed ?

Options

A. 28 cm
B. 56 cm
C. 35 cm
D. 42 cm

Answer

To find the total length of wire needed to fence a rectangular piece of land measuring 4.5 cm by 2.5 cm with four rows of wires, we can follow these steps:

### Step 1: Calculate the Perimeter of the Rectangle
The perimeter (P) of a rectangle can be calculated using the formula:
\[ P = 2 \times (L + B) \]
where \( L \) is the length and \( B \) is the breadth.

Given:
- Length \( L = 4.5 \) cm
- Breadth \( B = 2.5 \) cm

Substituting the values into the formula:
\[ P = 2 \times (4.5 + 2.5) \]

### Step 2: Simplify the Expression Inside the Parentheses
Calculate \( 4.5 + 2.5 \):
\[ 4.5 + 2.5 = 7 \]

### Step 3: Calculate the Perimeter
Now substitute back into the perimeter formula:
\[ P = 2 \times 7 = 14 \text{ cm} \]

### Step 4: Calculate the Total Length of Wire Needed
Since each side is to be fenced with 4 rows of wires, we need to multiply the perimeter by 4:
\[ \text{Total Length of Wire} = 4 \times P = 4 \times 14 \]

### Step 5: Perform the Multiplication
Now calculate \( 4 \times 14 \):
\[ 4 \times 14 = 56 \text{ cm} \]

### Final Answer
The total length of wire needed is **56 cm**.

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