Find the area of a rectangular garden which is `120.5 m` long and `20.6 m` wide.

Answer

To find the area of a rectangular garden, we can follow these steps:

### Step 1: Identify the dimensions of the rectangle
We are given:
- Length of the rectangular garden = 120.5 m
- Width (or breadth) of the rectangular garden = 20.6 m

### Step 2: Write down the formula for the area of a rectangle
The formula to calculate the area \( A \) of a rectangle is:
\[ A = \text{Length} \times \text{Width} \]

### Step 3: Substitute the values into the formula
Now, we can substitute the given values into the formula:
\[ A = 120.5 \, \text{m} \times 20.6 \, \text{m} \]

### Step 4: Perform the multiplication
To multiply the two decimal numbers, we can do the calculation as follows:

1. Multiply \( 120.5 \) by \( 20.6 \):
- First, ignore the decimal points and multiply \( 1205 \) by \( 206 \).

\[ 1205 \times 206 \]

- Calculate:
- \( 5 \times 6 = 30 \) (write down 0, carry over 3)
- \( 5 \times 0 + 3 = 3 \)
- \( 5 \times 2 = 10 \) (write down 0, carry over 1)
- \( 0 \times 6 = 0 \)
- \( 0 \times 0 = 0 \)
- \( 0 \times 2 = 0 \)
- \( 2 \times 6 = 12 \) (write down 2, carry over 1)
- \( 2 \times 0 + 1 = 1 \)
- \( 2 \times 2 = 4 \)

- Combine the results:
- \( 1205 \times 206 = 248030 \)

2. Now, we need to place the decimal point. Since \( 120.5 \) has 1 decimal place and \( 20.6 \) has 1 decimal place, the total number of decimal places is \( 1 + 1 = 2 \).

- Therefore, we place the decimal point two places from the right:
\[ 248030 \rightarrow 2480.30 \]

### Step 5: State the final answer with the appropriate unit
The area of the rectangular garden is:
\[ A = 2480.30 \, \text{m}^2 \]