2012 AMC 10B Problems/Problem 19
Problem
In rectangle ,
,
, and
is the midpoint of
. Segment
is extended 2 units beyond
to point
, and
is the intersection of
and
. What is the area of
?
Solution
unitsize(4); pair B=(0,0); pair A=(0,6); pair C=(30,0); pair D=(30,6); dot(A); dot(B): dot(C); dot(D); (Error making remote request. Unknown error_msg)
Note that the area of equals the area of
.
Since
. Now,
, so
and
so
Therefore,
hence our answer is
See Also
2012 AMC 10B (Problems • Answer Key • Resources) | ||
Preceded by Problem 18 |
Followed by Problem 20 | |
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