Find the area of a square park whose perimeter is 320 m.

Options

A. 6500 sq.m
B. 6400 sq. m
C. 6800 sq.m
D. 6700 sq.m

Answer

To find the area of a square park whose perimeter is 320 meters, we can follow these steps:

### Step 1: Understand the relationship between perimeter and side length
The perimeter \( P \) of a square is given by the formula:
\[ P = 4 \times \text{side} \]
Let the side length of the square be \( A \).

### Step 2: Set up the equation using the given perimeter
Given that the perimeter is 320 meters, we can write the equation:
\[ 4 \times A = 320 \]

### Step 3: Solve for the side length \( A \)
To find \( A \), divide both sides of the equation by 4:
\[ A = \frac{320}{4} \]
Calculating this gives:
\[ A = 80 \text{ meters} \]

### Step 4: Calculate the area of the square
The area \( A \) of a square is given by the formula:
\[ \text{Area} = \text{side}^2 \]
Substituting the value of the side length:
\[ \text{Area} = 80^2 \]
Calculating this gives:
\[ \text{Area} = 6400 \text{ square meters} \]

### Final Answer
The area of the square park is \( 6400 \, \text{m}^2 \).

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