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12 inch distance between opposite sides of a regular hexagon

Source: 1978 AHSME Problem 7

May 31, 2014
AMC

Problem Statement

Opposite sides of a regular hexagon are 1212 inches apart. The length of each side, in inches, is
<spanclass=′latex−bold′>(A)</span>7.5<spanclass=′latex−bold′>(B)</span>62<spanclass=′latex−bold′>(C)</span>52<spanclass=′latex−bold′>(D)</span>923<spanclass=′latex−bold′>(E)</span>43<span class='latex-bold'>(A) </span>7.5\qquad<span class='latex-bold'>(B) </span>6\sqrt{2}\qquad<span class='latex-bold'>(C) </span>5\sqrt{2}\qquad<span class='latex-bold'>(D) </span>\frac{9}{2}\sqrt{3}\qquad <span class='latex-bold'>(E) </span>4\sqrt{3}
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