Challenge Problem Showdown

Each week, we will post a new Challenge Problem for you to attempt. If you submit the correct answer, you will be entered into that week’s drawing for a free Manhattan GMAT Prep item. Tell your friends to get out their scrap paper and start solving!

Note We email the winner directly every week, and provided we then receive consent from the winner we post his or her name on our Facebook Fan Page .

Good luck! These are tough problems!

This Week's Problem: "The Bermuda Trapezoid Triangle"

 

Triangle ABC is cut by a line DE parallel to side AC, as shown in the diagram. If side AC has length 1, and the area and perimeter of triangle ABC are both twice the corresponding values for trapezoid ADEC, what is the perimeter of triangle DBE?

(A) (B) (C) (D) (E)

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