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
The length of 
is the arithmetic mean of the two parallel bases. Since the base EF is shared between the two smaller trapezoids, you want AB/DC = /boxed{2}$.
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 | ||
