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Problem 64

Geometry Difficulty 1.2 Multiple choice CEMC Gauss (Grade 7) · Canada · 2025

Which of the following is equal to the area of a square with side
length $8$ ?

Pick one

Official solution

A square with side length 8 has area $8\times8=64$ . Since $8\times2=16$ , $2\times(8+8)=2\times16=32$ , $4\times8=32$ , and $8\times8\times8\times8=4096$ , then $8\times8$ is the only expression given
that is equal to the area of the square.

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