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A 117-acre wooded area outside of town was turned into a new ecological preserve. Use the facts to find the area of the ecological preserve in hectares.

- 1 acre = 43,560 square feet
- 1 square mile = 640 acres
- 1 hectare = 2.5 acres

Answer :

Final answer:

To convert an area of 117 acres to hectares, divide 117 by 2.5 (since 1 hectare = 2.5 acres). This gives an area of 46.8 hectares for the ecological preserve.

Explanation:

The question provides the relevant conversion factors. We can convert the area from acres to hectares using the conversion factor given, which is 1 hectare = 2.5 acres. We'll apply this to the 117 acres. To convert units we simply multiply by the conversion factor but since we're converting from acres to hectares, we need to divide by the conversion ratio because an acre is larger than a hectare.

Step 1: Set up the conversion. Divide 117 acres by the conversion factor of 2.5 acres/hectare: 117 acres / 2.5 acres/hectare

Step 2: Perform the division. Dividing 117 by 2.5 yields 46.8 hectares (rounded to the nearest tenth). So, the ecological preserve is 46.8 hectares.

Learn more about Unit Conversion here:

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