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Maximize the Area of a 3-Sided Rectangle by Terry Lee Lindenmuth

Maximize the Area of a 3-Sided Rectangle by Terry Lee Lindenmuth
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2012-10-07 21:27
PolygonCoordinate GeometryOptimization
In collections Geo&Alg:Area Volume Pythagorean Th.
This example demonstrates how to maximize the area of a 3-sided rectangle by adjusting its side lengths. Key mathematical concepts include area calculation and optimization. Using GeoGebra commands such as Point, Segment, and Polygon, the process of solving optimization problems is visually explained. Suitable for high school mathematics education or learning.

GeoGebra Commands & Parameters

  1. Point(Circle[A, w]) → B
  2. Segment(A, B) → a
  3. OrthogonalLine(A, a) → b
  4. OrthogonalLine(B, a) → c
  5. Circle(A, length) → d
  6. Circle(A, length) → e
  7. Intersect(d, b) → C, D
  8. Intersect(e, c) → E, F
  9. Circle(B, length) → f
  10. Intersect(f, c) → G, H
  11. Polygon(D, A, B, H) → poly1, d_1, a_1, b_1, h
  12. Text(length) → text1
  13. Line(D, A) → g