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Golden Rectangle

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A golden rectangle is a rectangle in which the ratio of the longest to shortest sides is equal to the golden ratio, give approximately by 1.618. Such rectangles appear particularly promnentl in art and architecture.

Golden rectangle is a middle school-level concept.

Prerequisites

Golden Ratio: The golden ratio φ is a mathematical constant obtained as the ratio of longest-to-shorted side lengths in a rectangle constructed so that when it is partitioned into a square and new rectangle, the new rectangle has the same ratio of side lengths as the original. The golden ratio has value of approximately 1.618.
Rectangle: A rectangle is a quadrilateral with opposite sides of equal length and with four right angles.

Classroom Articles on Plane Geometry

  • Acute Angle
  • Midpoint
  • Altitude
  • Obtuse Angle
  • Angle
  • Parallel
  • Area
  • Perimeter
  • Circle
  • Perpendicular
  • Circumference
  • Pi
  • Collinear
  • Plane Geometry
  • Complementary Angles
  • Point
  • Diameter
  • Radius
  • Geometric Construction
  • Supplementary Angles
  • Hypotenuse
  • Triangle Inequality

  • Classroom Articles on Geometry (Up to Middle School Level)

  • Cone
  • Parallelogram
  • Congruent
  • Pentagon
  • Cube
  • Polygon
  • Cylinder
  • Prism
  • Decagon
  • Pyramid
  • Dodecagon
  • Quadrilateral
  • Dodecahedron
  • Regular Polygon
  • Equilateral Triangle
  • Right Triangle
  • Hendecagon
  • Sphere
  • Heptagon
  • Square
  • Hexagon
  • Surface
  • Icosahedron
  • Surface Area
  • Isosceles Triangle
  • Tetrahedron
  • Nonagon
  • Trapezoid
  • Octagon
  • Triangle
  • Octahedron
  • Volume