Rectangle — AMC & AIME Practice Problems | LIVE by Po-Shen Loh

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Rectangle — AMC & AIME Problems

Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses rectangle — 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.

All of these problems are used with official legal permission of the Mathematical Association of America (MAA).

AMC 8

1986 AMC 8 Problem 13 · 1995 AMC 8 Problem 9 · 2005 AMC 8 Problem 13 · 2006 AMC 8 Problem 6 · 2008 AMC 8 Problem 17 · 2010 AMC 8 Problem 18 · 2011 AMC 8 Problem 2 · 2012 AMC 8 Problem 6 · 2014 AMC 8 Problem 6 · 2019 AMC 8 Problem 2 · 2020 AMC 8 Problem 18 · 2020 AMC 8 Problem 25

AMC 12

2005 AMC 12A Problem 3 · 2010 AMC 12B Problem 2 · 2012 AMC 12B Problem 2 · 2014 AMC 12B Problem 5 · 2016 AMC 12B Problem 9 · 2016 AMC 12B Problem 10 · 2021 AMC 12A Fall Problem 2 · 2022 AMC 12A Problem 3

AIME

2000 AIME I Problem 4 · 2009 AIME II Problem 3 · 2016 AIME I Problem 9 · 2021 AIME I Problem 2 · 2025 AIME II Problem 6

More geometry concepts

3D geometry altitude angle bisector angle bisector theorem angle chasing angle sum annulus arc area area decomposition area ratio Brahmagupta’s Formula centroid chord circle circle area circumcircle, circumcenter, and circumradius circumference cone congruence (geometry)coordinate geometry cube geometry cyclic quadrilateral cylinder diagonal distance formula ellipse equiangular polygon equilateral triangle Euler’s Polyhedron Formula Heron’s Formula homothety hyperbola incircle, incenter, and inradius inscribed angle isosceles triangle kite lattice point law of cosines law of sines mass points median (geometry)midpoint net (3D geometry)paper folding parabola parallel lines parallelogram perimeter perpendicular bisector Pick’s Theorem polyhedron power of a point power scaling of length, area, and volume Ptolemy’s Theorem pyramid Pythagorean Theorem Pythagorean Triple radical axis rectangular prism reflection (geometry)regular polygon rhombus right triangle sector shoelace formula similarity special right triangle sphere square (geometry)Stewart’s Theorem surface area tangent circles tangent line transformation trapezoid triangle area triangle inequality trigonometric identity trigonometry vector Viviani’s Theorem volume