For every question, four probable answers bear in letters (A), (B), (C) and (D) are given. Only one out of these is correct. You have to choose the orrect answer.
The perimeter of a square is 144 m. It's area is

Options

A. `1712 m^2`
B. `1726m^2`
C. `1296m^2`
D. `1728m^2`

Answer

To solve the problem, we need to find the area of a square when the perimeter is given as 144 meters.

### Step-by-step Solution:

1. **Understand the formula for the perimeter of a square**:
The perimeter (P) of a square is given by the formula:
\[ P = 4 \times \text{side} \]

2. **Set up the equation using the given perimeter**:
We know the perimeter is 144 meters, so we can set up the equation:
\[ 4 \times \text{side} = 144 \]

3. **Solve for the side length**:
To find the side length, divide both sides of the equation by 4:
\[ \text{side} = \frac{144}{4} \]
\[ \text{side} = 36 \text{ meters} \]

4. **Calculate the area of the square**:
The area (A) of a square is given by the formula:
\[ A = \text{side} \times \text{side} \]
Substituting the value of the side:
\[ A = 36 \times 36 \]
\[ A = 1296 \text{ square meters} \]

5. **Final answer**:
The area of the square is \( 1296 \, \text{m}^2 \).