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A field has an area of 300, 000 m². If a new field is formed by tripling the lengths of each of its sides, what is the area of the new field in hectares?

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Well… what have you tried?

- Imagine the original dimensions of the field are L and W. Area is the product of these two so LW = 300,000 m^2 .
- If you triple both length and width then how would you write a formula for the new area?
- Do you know how many m^2 are in a hectare?
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Note that 300 000 m^2 is the same as 30 hectares.

If the area of a rectangular field is 30, that means l\*w = 30. Now if we triple the lengths of these sides, we have a new rectangle with length 3l and width 3w. Can you calculate the area of this new rectangle?
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L×W=300,000m^2

3L×3W=9LW=2,700,000m^2

1 hectare=10,000m^2

square meters÷10,000=hectares

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