geometry
Perimeter — AMC & AIME Problems
66 problems
Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Perimeter — 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: Concept of Perimeter, Applications of Area and Perimeter.
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 8
- 1985 AMC 8 Problem 12
- 1985 AMC 8 Problem 19
- 1986 AMC 8 Problem 13
- 1986 AMC 8 Problem 18
- 1989 AMC 8 Problem 24
- 1990 AMC 8 Problem 15
- 1992 AMC 8 Problem 22
- 1995 AMC 8 Problem 6
- 1995 AMC 8 Problem 11
- 1999 AMC 8 Problem 5
- 2000 AMC 8 Problem 15
- 2000 AMC 8 Problem 16
- 2000 AMC 8 Problem 18
- 2001 AMC 8 Problem 16
- 2005 AMC 8 Problem 4
- 2005 AMC 8 Problem 19
- 2006 AMC 8 Problem 6
- 2010 AMC 8 Problem 13
- 2015 AMC 8 Problem 8
- 2017 AMC 8 Problem 16
- 2026 AMC 8 Problem 3
- 2026 AMC 8 Problem 23
AMC 10
AMC 12
- 1951 AMC 12 Problem 2
- 1951 AMC 12 Problem 9
- 1951 AMC 12 Problem 25
- 1952 AMC 12 Problem 33
- 1953 AMC 12 Problem 33
- 1954 AMC 12 Problem 43
- 1955 AMC 12 Problem 34
- 1957 AMC 12 Problem 49
- 1960 AMC 12 Problem 15
- 1961 AMC 12 Problem 11
- 1962 AMC 12 Problem 6
- 1967 AMC 12 Problem 5
- 1968 AMC 12 Problem 22
- 1970 AMC 12 Problem 24
- 1970 AMC 12 Problem 27
- 1982 AMC 12 Problem 4
- 1982 AMC 12 Problem 10
- 1985 AMC 12 Problem 2
- 1987 AMC 12 Problem 2
- 1989 AMC 12 Problem 3
- 1989 AMC 12 Problem 17
- 1997 AMC 12 Problem 2
- 1997 AMC 12 Problem 5
- 1999 AMC 12 Problem 26
- 2007 AMC 12B Problem 1
- 2007 AMC 12B Problem 6
- 2016 AMC 12B Problem 9
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
- British Flag Theorem
- Centroid
- Ceva’s Theorem
- 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
- 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
- Rectangle
- 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