MO - triangles

On the AB and AC sides of the ABC triangle lies successive points E and F, and on segment EF lie point D. The EF and BC lines are parallel. It is true this ratio FD:DE = AE:EB = 2:1. The area of the ABC triangle is 27 hectares, and line segments EF, AD, and DB segments are divided into four parts. Find the areas of these four parts.

Correct answer:

AED =  4 ha
ADF =  8 ha
BDE =  2 ha
BCFD =  13 ha

Step-by-step explanation:

AED=4=4 ha
ADF=8=8 ha
BDE=2=2 ha
BCFD=13=13 ha

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