Find the area of a rectangle whose length and breadth are 2.8 m and 76 cm respectively.

Answer

To find the area of a rectangle given its length and breadth, we can follow these steps:

### Step 1: Identify the dimensions of the rectangle
- Length = 2.8 m
- Breadth = 76 cm

### Step 2: Convert the breadth from centimeters to meters
Since the length is given in meters, we need to convert the breadth from centimeters to meters. We know that:
1 meter = 100 centimeters.

To convert 76 cm to meters:
\[ \text{Breadth in meters} = \frac{76 \text{ cm}}{100} = 0.76 \text{ m} \]

### Step 3: Use the formula for the area of a rectangle
The area \( A \) of a rectangle is calculated using the formula:
\[ A = \text{Length} \times \text{Breadth} \]

### Step 4: Substitute the values into the formula
Now, substituting the values we have:
\[ A = 2.8 \text{ m} \times 0.76 \text{ m} \]

### Step 5: Multiply the numbers
To perform the multiplication:
\[ A = 2.8 \times 0.76 \]

To make multiplication easier, we can eliminate the decimal:
\[ A = \frac{28 \times 76}{100} \text{ m}^2 \]

Now, calculate \( 28 \times 76 \):
- \( 28 \times 76 = 2128 \)

Thus:
\[ A = \frac{2128}{1000} \text{ m}^2 = 2.128 \text{ m}^2 \]

### Final Answer:
The area of the rectangle is \( 2.128 \text{ m}^2 \).

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