2005 AMC 10B Problems/Problem 23
Problem
In trapezoid we have
parallel to
,
as the midpoint of
, and
as the midpoint of
. The area of
is twice the area of
. What is
?
Solution
Since the height of both trapezoids are equal, and the area of is twice the area of
,
.
, so
.
is exactly halfway between
and
, so
.
, so
, and
.
.
See Also
2005 AMC 10B (Problems • Answer Key • Resources) | ||
Preceded by Problem 22 |
Followed by Problem 24 | |
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All AMC 10 Problems and Solutions |
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