Problem of the Week: Mesmerized by Measurement
Editor’s Note: The Department of Mathematics at Gettysburg College hosts a problem of the week challenge to determine each semester’s Paul Mugabi problem-solving award recipient(s). Each week’s entries are scored by a faculty judge, and winner(s) from each week will receive a Problem Of the Week (P.O.W.) button. The Gettysburgian is not involved in or responsible for accepting or evaluating students’ submissions to this contest.
The contest is open to all Gettysburg College students. Up to three people may work together on a submission. Make sure your name is on your submission and that any sources are properly cited. Send solutions to firstname.lastname@example.org. This problem was posted on Friday, March 8 and solutions are due on Friday, April 15 by 5:00 p.m.
Suppose that a rectangle’s longest side is s meters. (Maybe all sides are of length s meters, but no side is longer than s meters.) Suppose that the rectangle’s area is A square meters, and that the rectangle’s perimeter is P meters.
QUESTION: If A = P, what can you say about s? Explain.