MathDB
2018 Individual #19

Source:

January 13, 2023
2018 Individual

Problem Statement

Rectangle ABCDABCD, with integer side lengths, has equal area and perimeter. What is the positive difference between the two possible areas of ABCDABCD?
<spanclass=′latex−bold′>(A)</span>0<spanclass=′latex−bold′>(B)</span>2<spanclass=′latex−bold′>(C)</span>4<spanclass=′latex−bold′>(D)</span>5<spanclass=′latex−bold′>(E)</span>6<span class='latex-bold'>(A) </span> 0\qquad<span class='latex-bold'>(B) </span> 2\qquad<span class='latex-bold'>(C) </span> 4\qquad<span class='latex-bold'>(D) </span> 5\qquad<span class='latex-bold'>(E) </span> 6
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