Job Recruitment Website - Recruitment portal - The area of parallelogram ABCD is 60, e and f are the midpoint of AB and BC respectively, and AF intersects ED and BD at G and H respectively, so as to find the area of quadrilateral BHGE.
The area of parallelogram ABCD is 60, e and f are the midpoint of AB and BC respectively, and AF intersects ED and BD at G and H respectively, so as to find the area of quadrilateral BHGE.
Extend the AF AC DC extension line to point p,
Then PC=CD=AB,
∴DG/EG=DP/AE=4，
DH/BH=DP/AB=2，
∴s(△dgh)/s(△dbe)=dg/de×dh/db=8/ 15.
∴S(△DBE)= 1/4×S (parallelogram ABCD)= 15,
Therefore, S(△DGH)=8.
Therefore, the area of the quadrilateral EBHG: S=7.
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