Mathematics: 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.

Bruh! Step-by-step explanation:...

In Argentina, a cow on a ranch is expected to need

amc9639

02.02.2022

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:

$4500 \: cows = 4200 \: {m}^{2} \times 4500$

$4500 \: cows = 18900000 \: m {}^{2}$

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:

$x = \dfrac{18900000}{10000} hectares$

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

So, the total area in hectares = 1890 hectares.

And we are done !!

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