- 2 hectares
- 4 hectares
- 5 hectares
- 6 hectares
The farmer sowed rice in 4 hectares of his field.
Here’s how we can find the area sown with rice:
- Convert hectares to a more manageable unit: Since we’re dealing with fractions of hectares, it’s easier to convert it to a smaller unit for calculation. We can use square meters (sqm) as 1 hectare is equal to 10,000 sqm.
Total land area in sqm = 10 hectares * 10,000 sqm/hectare = 100,000 sqm
- Area sown with wheat: We know the wheat is sown in 2/5 of the field.
Wheat area in sqm = 2/5 * 100,000 sqm = 40,000 sqm
- Area sown with rice (remaining land): The remaining land is where rice is sown.
Rice area in sqm = Total land area – Wheat area = 100,000 sqm – 40,000 sqm = 60,000 sqm
- Convert square meters back to hectares:
Rice area in hectares = Rice area in sqm / 10,000 sqm/hectare = 60,000 sqm / 10,000 sqm/hectare = 6 hectares
Therefore, the farmer sowed rice in 6 hectares of his field.
However, there seems to be a discrepancy in the answer choices you provided. While the calculation points to 6 hectares, none of the options match exactly. It’s possible there might be a mistake in the question or answer choices.