MathDB

Math Prize 2012 Problem 9

Source:

September 24, 2012

geometryrectangleperimeterratio

Problem Statement

Bianca has a rectangle whose length and width are distinct primes less than 100. Let

P

be the perimeter of her rectangle, and let

A

be the area of her rectangle. What is the least possible value of

\frac{P^2}{A}