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Perimeter of parking lot

Source: AMC 10 2011 b Problem 14

February 24, 2011
geometryperimeterrectanglenumber theoryPythagorean TheoremAMC

Problem Statement

A rectangular parking lot has a diagonal of 2525 meters and an area of 168168 square meters. In meters, what is the perimeter of the parking lot?
<spanclass=′latex−bold′>(A)</span> 52<spanclass=′latex−bold′>(B)</span> 58<spanclass=′latex−bold′>(C)</span> 62<spanclass=′latex−bold′>(D)</span> 68<spanclass=′latex−bold′>(E)</span> 70 <span class='latex-bold'>(A)</span>\ 52 \qquad <span class='latex-bold'>(B)</span>\ 58 \qquad <span class='latex-bold'>(C)</span>\ 62 \qquad <span class='latex-bold'>(D)</span>\ 68 \qquad <span class='latex-bold'>(E)</span>\ 70
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