MathDB
Reporting length; find minimum area of rectangle

Source: AMC 10 2011 b Problem 3

February 24, 2011
geometryrectangleAMC

Problem Statement

At a store, when a length is reported as xx inches that means the length is at least x0.5x-0.5 inches and at most x+0.5x+0.5 inches. Suppose the dimensions of a rectangular tile are reported as 22 inches by 33 inches. In square inches, what is the minimum area for the rectangle?
<spanclass=latexbold>(A)</span> 3.75<spanclass=latexbold>(B)</span> 4.5<spanclass=latexbold>(C)</span> 5<spanclass=latexbold>(D)</span> 6<spanclass=latexbold>(E)</span> 8.75 <span class='latex-bold'>(A)</span>\ 3.75 \qquad <span class='latex-bold'>(B)</span>\ 4.5 \qquad <span class='latex-bold'>(C)</span>\ 5 \qquad <span class='latex-bold'>(D)</span>\ 6 \qquad <span class='latex-bold'>(E)</span>\ 8.75