offers hundreds of practice questions and video explanations. Go there now.

Sign up or log in to Magoosh GRE Prep.

GRE Brain Twister – Watch out for the Trap(ezoid)!

GRE Brain Twister

Here’s this week’s Brain Twister! The answer will be revealed on Thursday.



*Figure not drawn to scale

Given that angle ACD and angle BDC are less than 90, what is the smallest possible area of trapezoid ABCD* in which the height and each side is a different integer length?

Numeric Entry: _________________


Magoosh students score 12 points better than average on the GRE. Click here to  learn more!

Most Popular Resources

4 Responses to GRE Brain Twister – Watch out for the Trap(ezoid)!

  1. Mofu October 14, 2015 at 3:32 am #

    Hi Chris,

    Perhaps I’m the one misunderstanding the question but it doesn’t seem very clear. From my knowledge, the distance designated as the “height” in a trapezoid is that between the two parallel ends. If they are parallel then it isn’t possible for them to have different lengths. Since it’s a numeric entry question, I figure a figure (no pun intended) is supposed to go in the space, otherwise I would be tempted to answer that there’s no answer (no pun intended, again)!

    • Akhilesh October 15, 2015 at 5:32 am #

      I am not sure how to solve this but I can say that your reasoning that parallel lines are of the same length is certainly not true. You can have two lines which are parallel but of different length…

      • Akhilesh October 15, 2015 at 5:34 am #

        Oops! sorry Mofu I take my reply back… I understand what you are saying!… “That the height will not vary” ..Please confirm

        • Mofu October 15, 2015 at 10:11 am #

          Yes Akhilesh, you eventually caught my drift….

Magoosh blog comment policy: To create the best experience for our readers, we will only approve comments that are relevant to the article, general enough to be helpful to other students, concise, and well-written! 😄 Due to the high volume of comments across all of our blogs, we cannot promise that all comments will receive responses from our instructors.

We highly encourage students to help each other out and respond to other students' comments if you can!

If you are a Premium Magoosh student and would like more personalized service from our instructors, you can use the Help tab on the Magoosh dashboard. Thanks!

Leave a Reply