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Problem 98

Geometry Difficulty 1.0 Multiple choice CEMC Gauss (Grade 8) · Canada · 2022

The regular pentagon shown has a side length of 2 cm.

The perimeter of the pentagon is

Pick one

Official solution

Arranging the five answers along with 10 from smallest to
largest, we get $1, 5, 8, 10, 13, 19$ .

Since 10 is 2 more than 8 and 10 is 3 less than 13, then 8 is the
closest number to 10.

Figure for this problem

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.