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2005 Alabama ARML TST Problems/Problem 11

Revision as of 00:21, 4 March 2008 by 1=2 (talk | contribs) (New page: ==Problem== In concave hexagon <math>ABCDEF</math>, <math>\angle A = \angle B = \angle C = 90^\circ</math>, <math>\angle D = 100^\circ</math>, and <math>\angle F = 80^\circ</math>. Also, ...)
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Problem

In concave hexagon $ABCDEF$, $\angle A = \angle B = \angle C = 90^\circ$, $\angle D = 100^\circ$, and $\angle F = 80^\circ$. Also, $CD=FA$, $AB=7$, $BC=9$, and $EF+DE=12$. Compute the area of the hexagon.

Solution

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