MathDB

31

Part of 2007 National Olympiad First Round

Problems(1)

Turkey NMO 2007 1st Round - P31 (Algebra)

Source:

10/5/2012
A square-shaped field is divided into nn rectangular farms whose sides are parallel to the sides of the field. What is the greatest value of nn, if the sum of the perimeters of the farms is equal to 100100 times of the perimeter of the field?
<spanclass=′latex−bold′>(A)</span> 10000<spanclass=′latex−bold′>(B)</span> 20000<spanclass=′latex−bold′>(C)</span> 50000<spanclass=′latex−bold′>(D)</span> 100000<spanclass=′latex−bold′>(E)</span> 200000 <span class='latex-bold'>(A)</span>\ 10000 \qquad<span class='latex-bold'>(B)</span>\ 20000 \qquad<span class='latex-bold'>(C)</span>\ 50000 \qquad<span class='latex-bold'>(D)</span>\ 100000 \qquad<span class='latex-bold'>(E)</span>\ 200000
geometryperimeter