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

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: _________________

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### 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….

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