If one side of a square is 6.5 cm, find its perimeter and area.

Answer

To find the perimeter and area of a square with a side length of 6.5 cm, we can follow these steps:

### Step 1: Identify the side length of the square.
The side length of the square is given as 6.5 cm.

### Step 2: Calculate the perimeter of the square.
The formula for the perimeter (P) of a square is:
\[ P = 4 \times \text{side} \]
Substituting the given side length:
\[ P = 4 \times 6.5 \]
Calculating this gives:
\[ P = 26 \text{ cm} \]

### Step 3: Calculate the area of the square.
The formula for the area (A) of a square is:
\[ A = \text{side}^2 \]
Substituting the given side length:
\[ A = (6.5)^2 \]
To calculate \( (6.5)^2 \), we can first convert 6.5 into a fraction:
\[ 6.5 = \frac{65}{10} \]
Now, squaring this gives:
\[ A = \left(\frac{65}{10}\right)^2 = \frac{65^2}{10^2} = \frac{4225}{100} \]
Calculating \( 65^2 \):
\[ 65 \times 65 = 4225 \]
So, we have:
\[ A = \frac{4225}{100} = 42.25 \text{ cm}^2 \]

### Final Results:
- **Perimeter**: 26 cm
- **Area**: 42.25 cm²

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