Sure, let's solve this step-by-step.
1. Determine the area of the rectangular field in square meters:
- The length of the field is 300 meters.
- The width of the field is 250 meters.
- The formula to calculate the area of a rectangle is:
[tex]\[
\text{Area} = \text{length} \times \text{width}
\][/tex]
2. Substitute the given values into the formula:
[tex]\[
\text{Area} = 300 \text{ meters} \times 250 \text{ meters}
\][/tex]
- Performing the multiplication:
[tex]\[
\text{Area} = 75{,}000 \text{ square meters}
\][/tex]
3. Convert the area from square meters to square kilometers:
- 1 square kilometer is equal to 1,000,000 square meters.
- The conversion formula is:
[tex]\[
\text{Area in square kilometers} = \frac{\text{Area in square meters}}{1{,}000{,}000}
\][/tex]
4. Substitute the value for the area in square meters:
[tex]\[
\text{Area in square kilometers} = \frac{75{,}000 \text{ square meters}}{1{,}000{,}000}
\][/tex]
- Performing the division gives:
[tex]\[
\text{Area in square kilometers} = 0.075 \text{ square kilometers}
\][/tex]
Therefore, the area of the rectangular field is [tex]\(0.075\)[/tex] square kilometers[tex]\( \text{km}^2 \)[/tex].
