2000 AMC 8 Problems/Problem 15
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Triangles 
, 
, and 
are all equilateral. Points 
and 
are midpoints of 
and 
, respectively. If 
, what is the perimeter of figure 
?
![[asy] pair A,B,C,D,EE,F,G; A = (4,0); B = (0,0); C = (2,2*sqrt(3)); D = (3,sqrt(3)); EE = (5,sqrt(3)); F = (5.5,sqrt(3)/2); G = (4.5,sqrt(3)/2); draw(A--B--C--cycle); draw(D--EE--A); draw(EE--F--G); label("$A$",A,S); label("$B$",B,SW); label("$C$",C,N); label("$D$",D,NE); label("$E$",EE,NE); label("$F$",F,SE); label("$G$",G,SE);[/asy]](http://latex.artofproblemsolving.com/3/e/e/3ee31377617710d02efbfe48eb576a433c3499ec.png)
