We invite you to test your GMAT knowledge for a chance to win! 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!

Here is this week’s problem:

A set of

nidentical triangles with anglex° and two sides of length 1 is assembled to make a parallelogram (ifnis even) or a trapezoid (ifnis odd), as shown. Is the perimeter of the parallelogram or trapezoid less than 10?