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, 2003

Number theory Difficulty 2.0 Junior Find the answer Canada

The side lengths of an equilateral triangle and a square are integers. If the triangle and the square have the same perimeter, which of the following is a possible side length of the triangle?

(A) $1$ (B) $10$ (C) $18$ (D) $20$ (E) $25$

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.