The area of a rectangle is given by the formula:

$\text{Area} = \text{length} \times \text{width}$

In this case, the length of the field is $0.45 \, \text{km}$ and the width is $0.4 \, \text{km}$. First, we convert both dimensions to meters since the problem asks for the area in square meters.

1 kilometer = 1,000 meters, so: $0.45 \, \text{km} = 0.45 \times 1000 = 450 \, \text{m}$ $0.4 \, \text{km} = 0.4 \times 1000 = 400 \, \text{m}$

Now, calculate the area in square meters: $\text{Area} = 450 \, \text{m} \times 400 \, \text{m} = 180,000 \, \text{m}^2$

Thus, the area of the field is 180,000 square meters.

Would you like more details on the calculations or have any questions?

Here are 5 related questions for further practice:

1. What is the perimeter of the rectangular field in meters?
2. If the length of the field is doubled, what would be the new area?
3. Convert the area of the field from square meters to hectares.
4. What would be the area of the field in square kilometers?
5. How many square feet is the area of the field, if 1 meter = 3.28084 feet?

Tip: Always make sure units are consistent before performing calculations to avoid errors.