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2009 UNCO Math Contest II Problems/Problem 8

Revision as of 16:52, 19 October 2014 by Timneh (talk | contribs) (Created page with "== Problem == Two diagonals are drawn in the trapezoid forming four triangles. The areas of two of the triangles are <math>9</math> and <math>25</math> as shown. What is the tot...")
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Problem

Two diagonals are drawn in the trapezoid forming four triangles. The areas of two of the triangles are $9$ and $25$ as shown. What is the total area of the trapezoid?

[asy] draw((0,0)--(20,0)--(2,4)--(14,4)--(0,0),black); draw((0,0)--(2,4)--(14,4)--(20,0),black); MP("25",(9,.25),N);MP("9",(9,2.25),N); [/asy]


Solution

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