To determine the area of the countryside burned by the wildfire in hectares (ha), given that 109 acres were burned and the conversion factor is 1 hectare ≈ 2.5 acres:
### Step-by-Step Solution:
1. Identify the given quantities:
- Area burned: 109 acres
- Conversion factor: 1 hectare ≈ 2.5 acres
2. Set up the conversion:
To convert acres to hectares, use the conversion factor. Since 1 hectare is approximately 2.5 acres, you can find the equivalent area in hectares by dividing the number of acres by the number of acres per hectare.
3. Perform the calculation:
[tex]\[
\text{Area in hectares} = \frac{\text{Area in acres}}{\text{Acres per hectare}}
\][/tex]
Substitute the given values:
[tex]\[
\text{Area in hectares} = \frac{109 \text{ acres}}{2.5 \text{ acres/ha}}
\][/tex]
4. Calculate the numerical value:
When you divide 109 by 2.5, you get:
[tex]\[
\text{Area in hectares} \approx 43.6 \text{ ha}
\][/tex]
Therefore, the area of the countryside that was burned by the wildfire is approximately [tex]\(43.6\)[/tex] hectares.
