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P09 [Geometry] - Turkish NMO 1st Round - 2001

Source:

April 20, 2014
geometrytrapezoid

Problem Statement

What is the largest possible area of an isosceles trapezoid in which the largest side is 1313 and the perimeter is 2828?
<spanclass=′latex−bold′>(A)</span> 13<spanclass=′latex−bold′>(B)</span> 24<spanclass=′latex−bold′>(C)</span> 27<spanclass=′latex−bold′>(D)</span> 28<spanclass=′latex−bold′>(E)</span> 30 <span class='latex-bold'>(A)</span>\ 13 \qquad<span class='latex-bold'>(B)</span>\ 24 \qquad<span class='latex-bold'>(C)</span>\ 27 \qquad<span class='latex-bold'>(D)</span>\ 28 \qquad<span class='latex-bold'>(E)</span>\ 30
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