MathDB
Rectangle Length and Width

Source:

January 12, 2009
geometryrectanglesimilar triangles

Problem Statement

The length of a rectangle is 5 5 inches and its width is less than 4 4 inches. The rectangle is folded so that two diagonally opposite vertices coincide. If the length of the crease is 6 \sqrt {6}, then the width is: <spanclass=′latex−bold′>(A)</span> 2<spanclass=′latex−bold′>(B)</span> 3<spanclass=′latex−bold′>(C)</span> 2<spanclass=′latex−bold′>(D)</span> 5<spanclass=′latex−bold′>(E)</span> 112 <span class='latex-bold'>(A)</span>\ \sqrt {2} \qquad <span class='latex-bold'>(B)</span>\ \sqrt {3} \qquad <span class='latex-bold'>(C)</span>\ 2 \qquad <span class='latex-bold'>(D)</span>\ \sqrt {5} \qquad <span class='latex-bold'>(E)</span>\ \sqrt {\frac {11}{2}}
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