Sunflower Field

The trapezoidal sunflower field is located between two parallel paths which are spaced 230 meters apart. The lengths of the parallel sides of the field are 255 m and 274 m. How many tons of sunflower will come from this field if the hectare yield is 2.25 tons?

Correct answer:

m =  13.7 t

Step-by-step explanation:

$$\begin{gathered} h=230\text{ m } \\ a=255\text{ m } \\ c=274\text{ m } \\ S=h\cdot (a+c)\mathrm{/}2=230\cdot (255+274)\mathrm{/}2=60835{\text{m}}^2 \\ {S}_2=S\to \text{ ha}=S\mathrm{/}10000\text{ ha}=60835\mathrm{/}10000\text{ ha}=6.0835\text{ ha } \\ m=S_2\cdot 2.25=6.0835\cdot 2.25=13.7\text{ t} \end{gathered}$$

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