A rectangular field is 300 meters long and 250 meters wide. What is the area of the field in square kilometers? Do not round your answer. Be sure to include the correct unit in your answer.



Answer :

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].