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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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)!

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…

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

Yes Akhilesh, you eventually caught my drift….