MathDB
Length comparison

Source: 2024 AMC 8 #6

October 11, 2024
2024 AMC 8AMC 8

Problem Statement

Sergei skated around an ice rink, gliding along different paths. The gray lines in the figures below show four of the paths labeled P, Q, R, and S. What is the sorted order of the four paths from shortest to longest?
[img width=50]https://wiki-images.artofproblemsolving.com//9/94/2024_AMC_8_Problem_6.png
<spanclass=latexbold>(A)</span>P, Q, R, S<spanclass=latexbold>(B)</span>P, R, S, Q<spanclass=latexbold>(C)</span>Q, S, P, R<spanclass=latexbold>(D)</span>R, P, S, Q<spanclass=latexbold>(E)</span>R, S, P, Q<span class='latex-bold'>(A) </span>\text{P, Q, R, S}\qquad<span class='latex-bold'>(B) </span>\text{P, R, S, Q}\qquad<span class='latex-bold'>(C) </span>\text{Q, S, P, R}\qquad<span class='latex-bold'>(D) </span>\text{R, P, S, Q}\qquad<span class='latex-bold'>(E) </span>\text{R, S, P, Q}