2006 AMC 10B Problems/Problem 20
Revision as of 15:04, 2 August 2006 by Xantos C. Guin (talk | contribs) (added link to previous and next problem)
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