AMC 8 L2: Basic Geometry

Complete problem set with solutions and individual problem pages

Problem 10 Easy

What is the area enclosed by the geoboard quadrilateral below? (2004 AMC8 Problem, Question #14)

  • A.

    15

  • B.

    18\frac{1}{2}

  • C.

    22\frac{1}{2}

  • D.

    27

  • E.

    41

Answer:C

Solution 1:

S=100-S_1-S_2-S_3-S_4

=100-\frac{(5+6)\times3}{2}-\frac{6\times7}{2}-\frac{5\times4}{2}-\frac{6\times10}{2}

=22.5