Difference between revisions of "2005 AMC 10B Problems/Problem 23"
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== Solution == | == Solution == | ||
| − | The length of <math>EF</math> is the arithmetic mean of the two parallel bases. Since the base EF is shared between the two smaller trapezoids, you want | + | The length of <math>EF</math> 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}$. |
== See Also == | == See Also == | ||
*[[2005 AMC 10B Problems]] | *[[2005 AMC 10B Problems]] | ||
Revision as of 20:55, 23 August 2011
Problem
In trapezoid 
we have 
parallel to 
, 
as the midpoint of 
, and 
as the midpoint of 
. The area of 
is twice the area of 
. What is 
?
Solution
The length of 
is the arithmetic mean of the two parallel bases. Since the base EF is shared between the two smaller trapezoids, you want AB/DC = \boxed{2}$.
