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Area and Perimeter of Rectangle with Fixed Perimeter by Ooi Soo Huat

Area and Perimeter of Rectangle with Fixed Perimeter by Ooi Soo Huat
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2017-12-11 15:26
Coordinate GeometryOptimizationGeometric Construction
In collections Mathematics Form 1
This example demonstrates how the area of a rectangle changes with side lengths when the perimeter is fixed. Key math concepts include perimeter, area, and geometric relationships. Construction involves commands like Line, Point, Distance, DynamicCoordinates, and objects like Area and Midpoint. Suitable for middle school and above learning geometric optimization and coordinate geometry.

GeoGebra Commands & Parameters

  1. SelectedIndex(Bahasa) → nn
  2. Line(A, xAxis) → a
  3. Point(a) → G
  4. Distance(A, G) → DPj
  5. If(b ≟ true, round(DPj), DPj) → RAB
  6. DynamicCoordinates(G, x(H), y(H)) → B
  7. Distance(A, B) → Pj
  8. If(nn ≟ 1, If[Tinggi ≟ 1, " unit", " units"], " unit") → textUT
  9. Textfield(Pr) → InputBox1
  10. Circle(A, Tinggi) → c
  11. OrthogonalLine(A, a) → d
  12. Intersect(c, d, 2) → C
  13. OrthogonalLine(C, d) → e
  14. OrthogonalLine(B, a) → f
  15. Intersect(e, f) → D
  16. Polygon(A, B, D, C) → poly1, a_1, b_1, d_1, c_1
  17. Area(poly1) → Luas
  18. Midpoint(A, B) → E
  19. VerticalText(Text[Tinggi] + textUT) → VText
  20. Midpoint(A, C) → F
  21. Div(Pr - 1, 2) → MaxPj
  22. If(nn ≟ 1, If[Pj ≟ 1, " unit", " units"], " unit") → textUP
  23. If(nn ≟ 1, "units", "unit") → text4
  24. If(nn ≟ 1, "Area = ", "Luas = ") → text5