The perimeter of the triangle AMY can be calculated as,
[tex]AM+MY+AY[/tex]COnsider the fifure,
The perimeter is,
[tex]P=6+9+3=18[/tex]Now, triangle MEG is the dilation of AMY by a factor 1/3. Therefore, the perimeter of MEG can be calculated as,
[tex]P^{\prime}=\frac{1}{3}\times18=6[/tex]