Length and width of a rectangular garden are 10200 m and 42000 m respectively. Find the perimeter of garden in standard form.

Options

A. `288xx 10^(5)km`
B. `288 xx 10^(3)km`
C. `2.88 xx 10^(3)m`
D. `2.88 xx 10^(5) m`

Answer

To find the perimeter of the rectangular garden, we will follow these steps:

### Step 1: Write down the formula for the perimeter of a rectangle.
The formula for the perimeter \( P \) of a rectangle is given by:
\[ P = 2 \times (\text{Length} + \text{Width}) \]

### Step 2: Substitute the given values into the formula.
We have:
- Length \( L = 10200 \, \text{m} \)
- Width \( W = 42000 \, \text{m} \)

Substituting these values into the formula:
\[ P = 2 \times (10200 + 42000) \]

### Step 3: Calculate the sum of the length and width.
Now, we calculate the sum of the length and width:
\[ 10200 + 42000 = 52200 \]

### Step 4: Multiply the sum by 2.
Next, we multiply the sum by 2 to find the perimeter:
\[ P = 2 \times 52200 = 104400 \]

### Step 5: Convert the perimeter into standard form.
To express \( 104400 \) in standard form, we can write it as:
\[ 1.044 \times 10^5 \, \text{m} \]

### Final Answer:
Thus, the perimeter of the garden in standard form is:
\[ 1.044 \times 10^5 \, \text{m} \]

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