2016 LMT Theme #5
Source:
April 11, 2016
Problem Statement
Pixar Prison, for Pixar villains, is shaped like a 600 foot by 1000 foot rectangle with a 300 foot by 500 foot rectangle removed from it, as shown below. The warden separates the prison into three congruent polygonal sections for villains from The Incredibles, Finding Nemo, and Cars. What is the perimeter of each of these sections?
[asy]
draw((0,0)--(0,6)--(10,6)--(10,0)--(8,0)--(8,3)--(3,3)--(3,0)--(0,0));
label("600", (1,3.5));
label("1000", (5.5,6.5));
label("300", (4,1.5));
label("500", (5.5,3.5));
label("300", (1.5,-0.5));
[/asy]Proposed by Peter Rowley