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Problem 135

Geometry Difficulty 1.1 Multiple choice CEMC Pascal · Canada · 2021

In the diagram, squares of side length 1 meet each other at their vertices.

The perimeter of the figure is

Pick one

Official solution

The perimeter of each of the squares of side length 1 is $4 \times 1 = 4$ .

The perimeters of the 7 squares in the diagram do not overlap, and so the perimeter of the entire figure is $7 \times 4 = 28$ .

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