Harvested 82548

Farmers harvested 1110q of grain from 37 hectares of wheat.
a) how many q of wheat did they harvest from 12 hectares?
b) how many grains were harvested from 1 m².
C) how big is the side of the square of the field from which they harvested 1q of wheat?

Correct answer:

a =  360 q
b =  0.3 kg
c =  18.2574 m

Step-by-step explanation:

$$\begin{gathered} h=1110/37=30\text{q/ha} \\ a=12\cdot h=12\cdot 30=360\text{q} \end{gathered}$$

$$\begin{gathered} S_1=1\text{ha}\to {\text{m}}^2=1\cdot 10000{\text{m}}^2=10000{\text{m}}^2 \\ {b}_1=h/S_1=30/10000=\frac{3}{1000}=0.003\text{q} \\ b=b_1\to \text{kg}=b_1\cdot 100\text{kg}=0.003\cdot 100\text{kg}=0.3\text{kg}=0.3\text{kg} \end{gathered}$$

$$\begin{gathered} h\cdot S_3=1\text{q} \\ {S}_3=1/h=1/30=\frac{1}{30}\doteq 0.0333\text{ha} \\ {S}_4=S_3\to {\text{m}}^2=S_3\cdot 10000{\text{m}}^2=0.0333\cdot 10000{\text{m}}^2=333.33333{\text{m}}^2 \\ {S}_4=c^2=c\cdot c \\ c=\sqrt{S_4}=\sqrt{333.3333}=18.2574\text{m} \end{gathered}$$

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