iran-konkur 2017 Q126

iran-konkur · Other · konkur-riazi_1396_specialized Areas by integration
126. In a rectangle with side lengths 3 and 4 units, from each vertex, a perpendicular is drawn to the other diagonal of this rectangle. What is the area of the resulting parallelogram?
[Figure: Rectangle with diagonals and perpendiculars drawn]
  • [(1)] $5/25$
  • [(2)] $5/75$
  • [(3)] $6$
  • [(4)] $7/5$
\textbf{126.} In a rectangle with side lengths 3 and 4 units, from each vertex, a perpendicular is drawn to the other diagonal of this rectangle. What is the area of the resulting parallelogram?

\textit{[Figure: Rectangle with diagonals and perpendiculars drawn]}

\begin{itemize}
    \item[(1)] $5/25$
    \item[(2)] $5/75$
    \item[(3)] $6$
    \item[(4)] $7/5$
\end{itemize}