iran-konkur 2020 Q127

iran-konkur · Other · konkur-riazi_1399_specialized_old-curriculum Not Maths
127. In the figure below, $DG = 3DA$ and the lengths of segments $DE$ and $DC$ are 2 and 5 respectively. The area of triangle $AFG$ is what percent of the area of trapezoid $ABCD$?
[Figure: Triangle with vertices G at top, F and C at bottom, with points A, B on sides, D between F and C, trapezoid ABCD shaded]
  • [(1)] 40
  • [(2)] 36
  • [(3)] 32
  • [(4)] 24
\textbf{127.} In the figure below, $DG = 3DA$ and the lengths of segments $DE$ and $DC$ are 2 and 5 respectively. The area of triangle $AFG$ is what percent of the area of trapezoid $ABCD$?

\textit{[Figure: Triangle with vertices G at top, F and C at bottom, with points A, B on sides, D between F and C, trapezoid ABCD shaded]}

\begin{itemize}
    \item[(1)] 40
    \item[(2)] 36
    \item[(3)] 32
    \item[(4)] 24
\end{itemize}