MathDB
2022 A Individual #7

Source:

April 28, 2022
geometry2022 A Individual

Problem Statement

Consider the rectangular strip of length 1212 below, divided into three rectangles. The distance between the centers of two of the rectangles is 44. What is the length of the other rectangle?
[asy] size(120); draw((0,0)--(12,0)--(12,1)--(0,1)--cycle); draw((8,1)--(8,0)); draw((3,1)--(3,0)); dot((1.5,0.5)); dot((5.5,0.5)); draw((1.5,0.5)--(5.5,0.5)); [/asy]
<spanclass=latexbold>(A)</span>2.5<spanclass=latexbold>(B)</span>3<spanclass=latexbold>(C)</span>3.5<spanclass=latexbold>(D)</span>4<spanclass=latexbold>(E)</span>4.5<span class='latex-bold'>(A) </span>2.5\qquad<span class='latex-bold'>(B) </span>3\qquad<span class='latex-bold'>(C) </span>3.5\qquad<span class='latex-bold'>(D) </span>4\qquad<span class='latex-bold'>(E) </span>4.5