How Many Rectangles The above figure  is composed of congruent squares. How many rectangles are in the figure?
March 14, 2005
Past Problems
	E-mail Solutions to: pow@umassd.edu
	Correct Solutions
	Klemen Kovacic. OSZO, Kocevje, Slovenia Roland Vyncke. Brugge, Belgium Omer Parlu. Yuzyil Isil Primary S, Istanbul, Turkey Radu Casian Ionescu. Montreal, Quebec, Canada. Mitchell Donald. Southridge School, Surrey, BC, Canada Jason Tripp. Westside High School, Macon, GA Evan Durant. Dartmouth High School, Dartmouth, MA Pedro Fernandez. Dartmouth High School, Dartmouth, MA Eli Powell. Dartmouth High School, Dartmouth, MA Lindsey Camara. Dartmouth High School, Dartmouth, MA James Winterhalter. Dartmouth High School, Dartmouth, MA Andrew Williams. South Shelby High School, Shelbina, MO Aristides Kyriakakis. Therssaloniiki. Greece Bailey Dowell. South Shelby High School. Shelbina, MO Thomas Little. South Shelby High School, Shelbina MO Andy Goers. South Shelby High School, Clarence MO Frank McGartland. Saskatoon, SK., Canada. Doug Bedard. Dartmouth High School, Dartmouth, MA Kimo Ton. South Shelby High School, Shelbina, MO Luan Luu. CSU, Long Beach, CA Mr. Almeida. Math teacher Lawrence Junior High School, Falmouth, MA. Jerrold Greenberg. New York, NY Allamanis Miltiadis. Anatolia High School, Thessaloniki, Greece Brian Hetrick. UNH, Manchester, NH Graham Anderson. Faith Lutheran College, Plainland Qld, Australia Brad Woods. Warren, Manitoba, Canada Sean Soni. Crayton Middle School, Columbia, SC Joshua Sanchez. Clemente High School, Chicago, IL Marvelle Mackey. Clemente High School, Chicago, IL Mike Osterfoss. Colorado School of Mines, Golden, CO Anne McGlone. Kennett Middle School, Landenberg PA Sarah Chen. Marie Curie Middle School, Bayside, NY Kirill Korsak. Harper Park  Leesburg, VA Haley Lewandowski. Fern Hill Elementary School, West Chester, PA Rafael Zambrano. Barranquilla, Colombia, SA Stephen Volker. Parkersburg High School, Vienna, WV Rodney Clingaman. Fishers, IN Jon Weiner. South Pasadena Middle School, South Pasadena, CA Lucy Rutter. South Shelby High School, Shelbina, MO Jennifer Schlindwein. Cardinal Stritch University, Milwaukee, WI Jordan Bowman. South Shelby High School, Shelbina, MO Farhana Dossa. Southridge School. Surrey, BC, Canada David Shi. JLS Middle, Palo Alto, CA Foster Lerner. The Geneva School, Winter Park, FL Yifeng Qin. Deep Run High School, Richmond, VA Tim Poe. Austin, TX Katie Kimme. Cardinal Stritch University, Milwaukee, WI Shannon Little. South Shelby High School, Shelbina, MO Rohan Verma. Creekwood Middle School, Kingwood, TX Bridgette Ridpath. South Shelby High School, Shelbina, MO Curtis Bowling. South Shelby High School, Shelbina, Missouri Jayd Diggins. South Shelby High School Shelbina, Missouri Sam Coffin. Brookstone School, Columbus, GA Alex McIntire. Brookstone School, Columbus, GA Felicia Dupras. Dartmouth High School, Dartmouth, MA Jill Lemieux. Dartmouth High School, Dartmouth MA Cindy Sung. Duchesne Academy, Houston, TX Danny Avila. Dartmouth HighSchool, Dartmouth, MA Sanford Russell. Professional Graphics Market Justin Huffman. South Shelby High School, Shebina, MO Joshua Eaton. Valley Falls, KS Sahit Bollineni. Highmeadow Common Campus, Farmington Hills, MI Rohit Bollineni, Longacre Middle School, Farmington Hills, MI Ryan Schwieter. South Shelby, High School, Shelbina, MO Bob Mitchell. Normal, IL Ann Norman. Columbus, GA Peter Schaffer. Budapest University of Technology and Economics, Budapest, Hungary Chad Dekker. Cardinal Stritch University, Milwaukee, Wisconsin Kenny Chinn.South Shelby High School, Shelbina, MO Mark Wintczak. Naperville, IL Phillip Ai. Warnsdorfer Elementary School, East Brunswick, NJ Grant Bowling. South Shelby High School, Lentner, MO Emily Naczek. Cardinal Stritch University, Milwaukee, Wisconsin Kayleigh Long. South Shelby High School, Clarence, MO Rain Maker. South Shelby High School, Shelbina, MO Spencer Johnston. South Shelby High School, Shelbina, MO Chris McCarrell. Molly Simkins. Brookstone School, Columbus, GA Moograed Aakash. Aakash City, WA Kyle Priver. South Pasadena Middle  School, South Pasadena, CA Kenneth Kuo. South Pasadena Middle School, South Pasadena, CA Diane Kristiansen. Westwood College of Technology, Dallas, Texas Hannah Kan. South Pasadena Middle School, South Pasadena, CA Muriah Hendricks. South Shelby High School, Shelbina, MO David Friedman. Sippican Elementary School, Marion, MA Kevin Magruder. South Shelby High School, Shelbina, Mo Morgan Passek. Harmon Middle School, Aurora,OH Miss McKay, Teacher in Anaheim City, CA Zunaira Chaudhry.Longfellow MS, McLean, VA Matt West. South Pasadena Middle School, South Pasadena, CA Ashley Simmons. South Shelby High School, Shelbina, MO Nick DePompei. Aurora, Ohio Mac Dillon. Brookstone school, Columbus, GA Paige Janke. Brookstone, Columbus, GA Nikita Kitaev. South Pasadena Middle School, South Pasadena, CA Bekezhan Nurkhaidarov. Riechcle Elementary School, Dillon, MT Crystal Koo. Steveston Secondary School, Richmond, B.C., Canada Ali Chavez. Creekwood Middle School, Kingwood, TX Kelsey Martin. Southridge School, Surrey, BC, Canada Goula Helen. 4th Gymnasium, Larissa, Greece Patrick Mc Henry. Math Facilitator, Gloucester City Schools Sanjeev Jina. Harmon Middle School, Aurora, Ohio Miranda Chapin. South Shelby High School,  Shelbina, MO Dan Chinn. South Shelby High School, Shelbina, MO Sonny Fuller. South Shelby, Shelbina, MO Kayde Gipson. South Shleby High Shcool, Clarence, MO Leslee Champion . Brookstone School, Columbus, GA Josh Rasera. Southridge School, Surrey, BC, Canada Crystal S. South Shelby High School, Shelbina, MO Amber. South Shelby High School, Shelbina, MO Courtney Ellyson. South Shelby High School, Shelbina, MO Norman Peng. Lowell High School, San Francisco, CA Matt Deters. Nemaha Valley Junior High, Seneca, KS Julie Sperfslage. NVJH, Seneca, KS Cheryl Dalinghaus. Nemaha Valley Junior High, Seneca, KS Kelli Boling. South Shelby High School Shelbina, MO Rebecca Ferreira. Dartmouth High School, Dartmouth, MA Arielle Charbonneau. Dartmouth High School, Dartmouth, MA Lexi Rekaris. Dartmouth High School, Dartmouth, MA Alexis Cochran. Dartmouth High School, Dartmouth, MA Danny Trifone. Dartmouth High School, Dartmouth, MA Ross Fareas. Dartmouth High School, Dartmouth, MA Andrew Buskirk. Parkersburg High School, Parkersburg, WV Mishal Chaudhry. McLean High School, McLean, VA Berkin Gurboy. Yuzyilisil Isil high school, Istanbul, Turkey Yun Ling Ni. Lawrence Junior High, Falmouth, MA Jerome Cherry. NAIT. Edmonton, Alberta, Canada James Endicott. Good Counsel High School. Wheaton, MD Cameron Saunders, Broohstone School, Columbus, GA Daniel Gray. Gray Homeschool, Brick, NJ L.W. Trinity Episcopal School New Orleans, La Kevin Jacobson. Brookstone School, Columbus, GA Jackie Henson, Brookstone School, Columbus, GA Victor Corsi, Harmon School, Aurora, Oh. Jamie Aragon. South Shelby High School, Shelbina, MO Jeff Blaker. Parkersburg High School, Parkersburg, WV Jonathan Lee. South Pasadena Middle School, South Pasadena State, CA Dannye Osburn. Creekwood Middle School, Kingwood, TX Bill Croughan. Episcopal School of Acadiana, Cade, LA Ashley Haverkamp. Nemaha Valley Junior High, Seneca, KS Samantha Grey. Creekwood Middle School, Kingwood, TX Laura Rickman. Brookstone School, Columbus, GA Krishnakumar Kuppusamy. Polaris, India Jing Min Liu. Dartmouth High School, Dartmouth, MA. Li Chun Yin. City University of Hong Kong, Hong Kong Henry Wilcox. Dartmouth High School, Dartmouth, MA Stephanie Medeiros. Dartmouth High School, Dartmouth, MA David Raposo. Dartmouth High School, Dartmouth, MA Cody Lisboa. Dartmouth High School, Dartmouth, MA Steven Almeida. Dartmouth High School, Dartmouth, MA Christopher Lafleur. Dartmouth High School, Dartmouth, MA Aleesha Taylor. Dartmouth High School, Dartmouth, MA Courtney Gomes. Dartmouth High School, Dartmouth, MA Ben Ferreira. Dartmouth High School, Dartmouth, MA Roberto Couto. Dartmouth High School, Dartmouth, MA Joe Drolet. Dartmouth High School, Dartmouth, MA Samantha Niles. Dartmouth High School, Dartmouth, MA Britnee Audette. Dartmouth High School, Dartmouth, MA Lindsey Sousa. Dartmouth High School, Dartmouth, MA James Simmons. Dartmouth High School, Dartmouth, MA Kim Mendes. Dartmouth High School, Dartmouth, MA Kara Berndt. Dartmouth High School, Dartmouth, MA Emily Lauher. Dartmouth High School, Dartmouth, MA Melanie Lopes. Dartmouth High School, Dartmouth, MA Jessica Oliveira. Dartmouth High School, Dartmouth, MA Jonathan Lee. South Pasdena Middle School, South Pasadena, CA Aquil Virani. Southridge School, Surrey, BC, Canada Nicole Reilly. Pine View School, Osprey, FL Jasmine Mckenzie. Ronld E. McNair Middle School, Lake City, SC Neil Parikh. Dunbar High School, Fort Worth, Texas Nathan Gould. Scarsdale High School, Scarsdale, NY Michael Yelle. Decatur High School, Federal Way, Wa Karrie Ly. Key School, CA Nick Mancuso. Parkersburg High School, Parkersburg, WV Mr. Cambra. Hastings Middle School, Fairhaven, MA Justin Oyas. Key School , Anaheim, CA Aaron Weldon. Creekwood Middle School, Kingwood, TX Priscilla Lee. South Pasadena Middle School, South Pasadena, CA Sahana Vasudevan. Country Parkway Elementary  School, Williamsville, NY Stacy Lee. South Pasadena Middle School. South Pasadena, CA
	43% of respondents successfully answered this problem.

 

 Last Updated On: 11/16/05