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Rectangles with Same Perimeter

Rectangles with Same Perimeter
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2019-07-11 12:14
FunctionCoordinate GeometryOptimizationGeometric Construction
This example explores how the side lengths of rectangles change with a fixed perimeter, involving core concepts like perimeter formulas, coordinate geometry, and optimization. It uses GeoGebra commands such as RotateText, Point, and Segment for construction, suitable for high school mathematics education to understand parametric graphs and function relationships.

GeoGebra Commands & Parameters

  1. RotateText(text2, π / 2) → text3
  2. Point(yAxis) → A
  3. Point(xAxis) → B
  4. Segment(A, C) → f
  5. Segment(C, B) → g
  6. Point(yAxis) → D
  7. Segment(A, D) → h
  8. Segment(D, B) → i