MathDB

2011 Spring LMT Individual Round Problem 9

Source:

January 5, 2021

Problem Statement

Let

ABCD

be a rhombus and suppose

E

and

F

are the midpoints of

\overline{AD}

and

\overline{EF}

are the midpoints of

\overline{AD}

and

\overline{BC},

respectively. If

G

is the intersection of

\overline{AC}

and

\overline{EF},

find the ratio of the area of

AEG

to the area of

AGFB.

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