The area of a square, whose side is 2.5 cm is

Options

A. `5.75cm^(2)`
B. `6.75cm^(2)`
C. `5.25cm^(2)`
D. `6.25cm^(2)`

Answer

To find the area of a square whose side is 2.5 cm, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the formula for the area of a square**:
The area \( A \) of a square is given by the formula:
\[ A = \text{side}^2 \]

2. **Substitute the given side length into the formula**:
Here, the side length is given as 2.5 cm. So we substitute this value into the formula:
\[ A = (2.5 \, \text{cm})^2 \]

3. **Calculate the square of the side length**:
To calculate \( (2.5)^2 \), we can break it down:
\[ (2.5)^2 = 2.5 \times 2.5 \]
To simplify this multiplication, we can express 2.5 as a fraction:
\[ 2.5 = \frac{25}{10} = \frac{5}{2} \]
Now squaring it:
\[ (2.5)^2 = \left(\frac{5}{2}\right)^2 = \frac{5^2}{2^2} = \frac{25}{4} \]

4. **Convert the fraction to decimal**:
Now we can convert \( \frac{25}{4} \) to decimal:
\[ \frac{25}{4} = 6.25 \]

5. **State the final answer**:
Therefore, the area of the square is:
\[ A = 6.25 \, \text{cm}^2 \]

### Final Answer:
The area of the square with a side of 2.5 cm is **6.25 cm²**.

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