Congruent Squares - April 25-29: Two congruent 6cm x 6cm squares overlap. A vertex of one square is at the center of the other square. What is the largest possible value for the area where they overlap? (The one square is movable, as long as the vertex remains in the center.) Correct solutions to the problem were submitted by: Mark Plesko 10th Grade, Hampton High School Billy Glisson, Billy Becht, Tim Pappas, and Fernando Davila Grade 7, School of the Holy Child, Drexel Hill, PA Mike McCollum Grade 9, Hampton High School Bipin Mujumdar Grade 10, Shaler High School Gino Perrotte Grade 10, Shaler Area Highschool Matt Bouton Grade 9, Steel Valley High School, Pa. Nate Yarbrough, 10th, & Neil Chandler, 11th Steel Valley High School, Pa. Richard Bryer Grade 9, Steel Valley High School, Pa. Vashti Bandy, Donald Fischer, Susan Quan, Alex Mikuliak Grade 9 Masterman Philadelphia Jen Celender, Grade 10, Shaler Area High School This problem is a good one to investigate using the Geometer's Sketchpad. If you have Sketchpad and your Web browser is properly configured to open sketches, you can view these three illustrations. Next problem || Previous problem || Table of Contents || Forum Home Page 30 June 1995