A soccer field is rectangular in shape and measures 100 meters in length and 75 meters in width. The hectare is a metric unit of area often used to measure large areas. Given that 1 hectare = 10,000 square meters, what is the soccer field's area in hectares?

Rationale

The area of the soccer field is 0.75 hectares.

To calculate the area of the soccer field, we multiply its length (100 meters) by its width (75 meters) to get 7,500 square meters. Since 1 hectare is equal to 10,000 square meters, we divide the area in square meters by the number of square meters in a hectare to convert the area to hectares. Therefore, 7,500 square meters equals 0.75 hectares.

A (7,500 hectares) YOUR ANSWER

This choice erroneously assumes that the area in square meters directly converts to hectares. However, because 1 hectare equals 10,000 square meters, the area must be divided by 10,000 for accurate conversion, not taken as is.

B (7.5 hectares) YOUR ANSWER

This answer incorrectly converts the area from square meters to hectares by dividing by 1,000 instead of 10,000. Therefore, it is ten times larger than the correct value.

C (75,000,000 hectares) YOUR ANSWER

This choice appears to misinterpret the conversion factor, potentially assuming 1 square meter equals 1 hectare. This drastically overestimates the actual size of the soccer field, as 1 hectare equals 10,000 square meters, not 1.

D (0.75 hectares) CORRECT

The area of the soccer field in square meters (7,500) divided by the number of square meters in a hectare (10,000) results in 0.75 hectares. This correctly applies the conversion factor to determine the area of the field in hectares.

Conclusion

The area of the soccer field is most accurately represented as 0.75 hectares. The other options either incorrectly interpret the conversion factor from square meters to hectares or incorrectly apply it, leading to overestimations of the soccer field's area. It is crucial to remember that 1 hectare equals 10,000 square meters when converting areas between these units.

A soccer field is rectangular in shape and measures 100 meters in length and 75 meters in width. The hectare is a metric unit of area often used to measure large areas. Given that 1 hectare = 10,000 square meters, what is the soccer field's area in hectares?

The area of the soccer field is 0.75 hectares.

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