4. Owls generally maintain territories of 3 acres. How many owls could live in a large wooded area of 20 hectares?

(1 hectare [tex]=1[/tex] sq. dekameter [tex]=100 \, m^2=2.47[/tex] acres)



Answer :

Sure! Let's work through this step by step.

1. Understanding the Dimensions:
- We are given the area of the wooded region in hectares.
- 1 hectare is equivalent to 2.47 acres.

2. Convert the Wooded Area from Hectares to Acres:
- The wooded area is 20 hectares.
- Since 1 hectare is equivalent to 2.47 acres, we multiply the number of hectares by the conversion factor to find the total area in acres.

[tex]\[ \text{Wooded area in acres} = 20 \text{ hectares} \times 2.47 \frac{\text{acres}}{\text{hectare}} = 49.4 \text{ acres} \][/tex]

3. Calculate How Many Owls Can Live in the Wooded Area:
- Each owl needs a territory of 3 acres.
- To find the number of owls that can live in the wooded area, we divide the total area in acres by the territory size needed per owl.

[tex]\[ \text{Number of owls} = \frac{49.4 \text{ acres}}{3 \text{ acres}} = 16.47 \text{ owls} \][/tex]

Since we can't have a fraction of an owl in reality, we typically consider the whole number part when talking about actual animals. Thus, approximately 16 owls could live in this large wooded area before considering practical aspects like territory overlap or environmental factors.

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