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)