Question

In Argentina, a cow on a ranch is expected to need an average of 4200 m2

of grassland for food.
What size does a ranch need to be to feed 4500 cows?
Give your answer in hectares.​

Answer 1

The cows of Argentina needs an approximate area of 4200 m² for grazing, and there is a total of 4500 cows.

And we are asked to find the total area of their grazing but in hectares. So, we can write:

`1 \: cow = 4200 \: {m}^(2)`

Then, for 4500 cows:

`4500 \: cows = 4200 \: {m}^(2) * 4500`

`4500 \: cows = 18900000 \: m {}^(2)`

We know that, 1 hectares = 10000 m² = 10⁴ m²

Then let the area of the field be x in hectares:

`1 \: hectare = 10000 \: {m}^(2)`

`x \: hectare = 18900000 \: {m}^(2)`

Then, putting them in proportion, We will get:

`x = (18900000)/(10000) hectares`

`x = \boxed{ 1890 \: hectares}`

So, the total area in hectares = 1890 hectares.

And we are done !!

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