AMC 8 L2: Basic Geometry

Complete problem set with solutions and individual problem pages

Problem 13 Medium

In the diagram, all angles are right angles and the lengths of the sides are given in centimeters. Note the diagram is not drawn to scale. What is X, in centimeters? (2012 AMC8 Problem, Question #5)

  • A.

    1

  • B.

    2

  • C.

    3

  • D.

    4

  • E.

    5

Answer:E

The figure is the same height on both sides, so the sum of the lengths contributing to the height on the left side will equal the sum of the lengths contributing to the height on the right side.

1+1+1+2+X=1+2+1+6,

5+X=10,

X=5.

Thus, the answer is \text{E}.

Related Problems
Problem 11 AMC 8 L2: Basic Geometry
Problem 12 AMC 8 L2: Basic Geometry
Problem 14 AMC 8 L2: Basic Geometry
Problem 15 AMC 8 L2: Basic Geometry
Think Academy Powered by ChatGPT