Calculating the Square's Area Using Pole Information

The problem asks for the area of a square fence constructed using 48 poles, with each pole spaced 5 meters apart.

Perimeter Calculation

For a closed shape like a square, the number of intervals between poles is equal to the number of poles. Therefore, 48 poles create 48 intervals along the perimeter.

• Number of poles = 48
• Distance between poles = 5 m
• Number of intervals = 48
• Perimeter = Number of intervals $\times$ Distance between poles
• Perimeter = $48 \times 5 \text{ m} = 240 \text{ m}$

Side Length Determination

A square has four equal sides. The perimeter is the total length of all sides.

• Perimeter of a square = $4 \times \text{side length}$
• $240 \text{ m} = 4 \times \text{side length}$
• Side length = $\frac{240 \text{ m}}{4} = 60 \text{ m}$

Area Calculation

The area of a square is calculated by squaring its side length.

• Area = $(\text{side length})^2$
• Area = $(60 \text{ m})^2$
• Area = $3600 \text{ m}^2$

The area of the square formed is $3600 \text{ m}^2$. This corresponds to Option B.