Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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# Problem C. 1260. (December 2014)

C. 1260. The midpoints of sides $\displaystyle AB$, $\displaystyle BC$, $\displaystyle CD$, $\displaystyle DA$ of a unit square $\displaystyle ABCD$ are $\displaystyle E$, $\displaystyle F$, $\displaystyle I$, $\displaystyle H$, respectively. Let $\displaystyle M$ denote the intersection of the lines $\displaystyle ED$ and $\displaystyle HI$, and let $\displaystyle G$ denote the intersection of the lines $\displaystyle EC$ and $\displaystyle FI$. Find the area of the quadrilateral $\displaystyle MEGI$.

(5 pont)

Deadline expired on January 12, 2015.

### Statistics:

 152 students sent a solution. 5 points: 67 students. 4 points: 42 students. 3 points: 11 students. 2 points: 11 students. 1 point: 6 students. 0 point: 15 students.

Problems in Mathematics of KöMaL, December 2014