AMC 8 L2: Basic Geometry

Complete problem set with solutions and individual problem pages

Problem 14 Easy

The letter T is formed by placing two 2\times4 inch rectangles next to each other, as shown. What is the perimeter of the T, in inches? (2006 AMC8 Problem, Question #6)

  • A.

    12

  • B.

    16

  • C.

    20

  • D.

    22

  • E.

    24

Answer:C

If the two rectangles were separate, the perimeter would be 2\times(2\times(2+4))=24. It easy to see that their connection erases 2 from each of the rectangles, so the final perimeter is 24-2\times2=20.