Difference between revisions of "2006 AMC 10B Problems/Problem 20"
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Revision as of 21:36, 3 August 2006
Problem
In rectangle , we have
,
,
, for some integer
. What is the area of rectangle
?
Solution
Let the slope of be
and the slope of
be
.
Since and
form a right angle:
Using the distance formula:
Therefore the area of rectangle is