Find the ara of a rectangle of length 12 cm and breadth `8.5 cm.`

Options

A. 109 sq. cm
B. 102 sq. cm
C. 106 sq. cm
D. 108 sq. cm

Answer

To find the area of a rectangle with a length of 12 cm and a breadth of 8.5 cm, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the formula for the area of a rectangle**:
The area \( A \) of a rectangle is calculated using the formula:
\[ A = \text{length} \times \text{breadth} \]

2. **Substitute the given values into the formula**:
Here, the length is 12 cm and the breadth is 8.5 cm. Plugging these values into the formula gives:
\[ A = 12 \, \text{cm} \times 8.5 \, \text{cm} \]

3. **Perform the multiplication**:
To multiply 12 by 8.5, we can break it down:
\[ 12 \times 8.5 = 12 \times (8 + 0.5) = (12 \times 8) + (12 \times 0.5) \]
- Calculate \( 12 \times 8 = 96 \)
- Calculate \( 12 \times 0.5 = 6 \)
- Now add these results together:
\[ 96 + 6 = 102 \]

4. **Include the units**:
Since we are calculating area, we need to square the units:
\[ A = 102 \, \text{cm}^2 \]

5. **Final answer**:
Therefore, the area of the rectangle is:
\[ \text{Area} = 102 \, \text{cm}^2 \]