2008 AMC12 A #9

Older television screens have an aspect ratio of \(4:3\). That is, the ratio of the width to the height is \(4:3\). The aspect ratio of many movies is not \(4:3\), so they are sometimes shown on a television screen by "letterboxing" - darkening strips of equal height at the top and bottom of the screen, as shown. Suppose a movie has an aspect ratio of \(2:1\) and is shown on an older television screen with a \(27\)-inch diagonal. What is the height, in inches, of each darkened strip?

(A) \(2\)          (B) \(2.25\)          (C) \(2.5\)          (D) \(2.7\)          (E) \(3\)

정답 (D)