Farm Land Crops Area

The farm (ZD) grows corn on a third of its land, barley on a quarter, half of the remaining acreage is planted with clover, and the last 9 ha is reserved for growing cabbage. What is the size of the farm?

Final Answer:

x =  43.2 ha

Step-by-step explanation:

$$\begin{gathered} \frac{x}{3}+\frac{x}{4}+(x-\frac{x}{3}-\frac{x}{4})/2+9=x \\ x/3+x/4+(x-x/3-x/4)/2+9=x \\ 2.5x=108 \\ x=\frac{108}{2.5}=43.2 \\ x=\frac{216}{5}=43.2=\frac{216}{5}\text{ha}=43.2\text{ha} \end{gathered}$$

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