AMC 8 Daily Practice - Perimeter Tricks

Complete problem set with solutions and individual problem pages

Problem 6 Easy

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 the length in X, in centimeters?

  • A.

    3

  • B.

    2.5

  • C.

    1.3

  • D.

    2

  • E.

    3.5

Answer:B

Using the translation method, we find that:

5 + 4 + 4 = 3 + 1.5 + 6 + X

Solving for X:

13 = 10.5 + X \Rightarrow X = 13 - 10.5 = 2.5

Thus, the length of X is 2.5cm.

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