2016 AMC 12B Problems/Problem 10
Problem
A quadrilateral has vertices ,
,
, and
, where
and
are integers with
. The area of
is
. What is
?
Solution
By distance formula we have . SImplifying we get
. Thus
and
have to be a factor of 8. The only way for them to be factors of
and remain integers is if
and
. So the answer is
Solution by I_Dont_Do_Math
See Also
2016 AMC 12B (Problems • Answer Key • Resources) | |
Preceded by Problem 9 |
Followed by Problem 11 |
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All AMC 12 Problems and Solutions |
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