geometry
Shoelace formula — AMC & AIME Problems
24 problems
Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Shoelace formula — a geometry concept — each with a professionally curated solution, many with a video solution too, from LIVE by Po-Shen Loh. Browse all concepts or the full past-contest archive.
LIVE focuses on challenge. As a social enterprise, we also explain standard school concepts one at a time, for free, on our sister site Expii. For this idea: Shoelace Formula for Polygons, Shoelace Formula for Triangles or Parallelograms.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
Filter by difficulty
These problems’ difficulty ratings come from real solve attempts on our platform. Tap a band or a contest to filter the list below, and tap a selected band again to include all difficulties. See the full difficulty guide.
AMC 12
- 1962 AMC 12 Problem 37
- 1985 AMC 12 Problem 13
- 2011 AMC 12A Problem 17
- 2013 AMC 12A Problem 13
- 2016 AMC 12A Problem 15
- 2017 AMC 12B Problem 24
- 2018 AMC 12A Problem 22
- 2019 AMC 12A Problem 5
- 2020 AMC 12A Problem 17
- 2021 AMC 12B Spring Problem 15
- 2021 AMC 12A Fall Problem 21
- 2022 AMC 12B Problem 25
- 2024 AMC 12B Problem 12
- 2024 AMC 12B Problem 15
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