MathDB
Pigeon Geo

Source:

April 28, 2022

Problem Statement

A rectangle ABCDABCD has side lengths AB=6 milesAB=6 \text{ miles} and BC=9 miles.BC=9\text{ miles}. A pigeon hovers at point PP, which is 5 miles above some randomly chosen point inside ABCDABCD. Given that the expected value of AP2+CP2−BP2−DP2AP^2+CP^2-BP^2-DP^2 can be expressed as ab\tfrac{a}{b}, what is abab?
2022 CCA Math Bonanza Lightning Round 2.2
Back to ProblemsView on AoPS