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Before it was put out, a wildfire burned 109 acres (ac) of the countryside.

Use the given facts to find the area of the countryside burned by the wildfire in hectares (ha).

Conversion facts for area:
- 1 acre [tex]$(ac) = 43,560$[/tex] square feet [tex]$(ft^2)$[/tex]
- 1 square mile [tex]$(mi^2) = 640$[/tex] acres (ac)
- 1 hectare (ha) [tex]$\approx 2.5$[/tex] acres (ac)

Note: [tex]$\approx$[/tex] means "is approximately equal to". For this problem, treat [tex]$\approx$[/tex] as if it were [tex]$=$[/tex].

Calculate the area in hectares (ha):
[tex]$\square$[/tex] ha



Answer :

GinnyAnswer
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.

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