MathDB

5

Part of 2016 LMT

Problems(2)

2016 LMT Individual #5

Source:

4/10/2016
An isosceles triangle has angles of 50∘,x∘,50^\circ,x^\circ, and y∘y^\circ. Find the maximum possible value of x−yx-y.
Proposed by Nathan Ramesh
2016 LMT Theme #5

Source:

4/11/2016
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