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}$. |
== See Also == | == See Also == | ||
*[[2005 AMC 10B Problems]] | *[[2005 AMC 10B Problems]] |
Revision as of 21:55, 23 August 2011
Problem
In trapezoid we have
parallel to
,
as the midpoint of
, and
as the midpoint of
. The area of
is twice the area of
. What is
?
Solution
The length of is the arithmetic mean of the two parallel bases. Since the base EF is shared between the two smaller trapezoids, you want AB/DC = \boxed{2}$.