If one hectare is equivalent to 1.0×10^4m? and one acre is equivalent to 4.0×10^4 ft^2, how much larger is one hectare compared to one acre in terms of the unit ft^2?

To compare the size of one hectare to one acre in terms of square feet (ft²), we need to convert hectares to square feet. Here's the process:

### Step-by-Step Conversion

1. **Convert hectares to square meters (m²):**
   - 1 hectare (ha) = \(1.0 \times 10^4 \, \text{m}^2\)

2. **Convert square meters to square feet (ft²):**
   - The conversion factor from square meters to square feet is:
     \[
     1 \, \text{m}^2 = 10.7639 \, \text{ft}^2
     \]

3. **Calculate the area of one hectare in square feet:**
   \[
   1.0 \times 10^4 \, \text{m}^2 \times 10.7639 \, \text{ft}^2/\text{m}^2 = 107639 \, \text{ft}^2
   \]

4. **Area of one acre in square feet:**
   - 1 acre = \(4.0 \times 10^4 \, \text{ft}^2\)

### Comparison

Now, compare the two areas:

- One hectare = 107,639 ft²
- One acre = 40,000 ft²

To find out how much larger one hectare is compared to one acre, we can calculate the ratio and the difference between the two areas:

1. **Ratio of hectare to acre:**
   \[
   \frac{107639 \, \text{ft}^2}{40000 \, \text{ft}^2} = 2.690975
   \]

2. **Difference in area:**
   \[
   107639 \, \text{ft}^2 - 40000 \, \text{ft}^2 = 67639 \, \text{ft}^2
   \]

### Conclusion

One hectare is approximately 2.69 times larger than one acre in terms of square feet, and the difference in area is 67,639 ft².

Would you like more details or have any questions?

Here are some related questions for further practice:

1. Convert 2 hectares to square feet.
2. How many acres are in 1 hectare?
3. If a plot of land is 2 acres, how many square meters is that?
4. Convert 5 acres to square meters.
5. How many hectares are there in 100,000 square meters?
6. If a farmer owns 3 hectares of land, how many square feet does he own?
7. Convert 500,000 square feet to hectares.
8. What is the size of 10 acres in square meters?

**Tip:** Always keep track of your conversion factors to ensure accuracy in your calculations.

Explore the difference between a hectare and an acre in terms of square feet. Understand the conversion process from hectares to square feet and compare the areas. Detailed solution with step-by-step calculations provided.

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