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 result:

m =  13.7 t

Solution:

h=230 m a=255 m c=274 m  S=h⋅ (a+c)/2=230⋅ (255+274)/2=60835 m2 S2=S→ha=S/10000 ha=60835/10000 ha=6.0835 ha  m=S2⋅ 2.25=6.0835⋅ 2.25=13.7 th=230 \ \text{m} \ \\ a=255 \ \text{m} \ \\ c=274 \ \text{m} \ \\ \ \\ S=h \cdot \ (a+c)/2=230 \cdot \ (255+274)/2=60835 \ \text{m}^2 \ \\ S_{2}=S \rightarrow ha=S / 10000 \ ha=60835 / 10000 \ ha=6.0835 \ ha \ \\ \ \\ m=S_{2} \cdot \ 2.25=6.0835 \cdot \ 2.25=13.7 \ \text{t}

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