Potatoes

When planting potatoes there are consumed 3 500 kg of seed per 1 ha. Calculate the weight of the seed needed for fitting a square area with a side length 325 meters.

Correct result:

m =  36969 kg

Solution:

$$\begin{gathered} S_1=1\text{ ha}\to {\text{m}}^2=1\cdot 10000{\text{m}}^2=10000{\text{m}}^2 \\ {m}_1=3500\mathrm{/}{S}_1=3500\mathrm{/}10000={\displaystyle \frac{7}{20}}=0.35{\text{kg/m}}^2 \\ a=325\text{ m } \\ S=a^2=325^2=105625{\text{m}}^2 \\ m=m_1\cdot a^2=0.35\cdot 325^2={\displaystyle \frac{147875}{4}}={\displaystyle \frac{147875}{4}}\text{ kg}=36969\text{ kg} \end{gathered}$$

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