Rectangle Perimeter: Solving Linear Equations

Rectangle Perimeter: Solving Linear Equations
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2016-11-03 08:42
① This example demonstrates how to generate random application problems about the perimeter of a rectangle, converting real-world situations into linear equations and solving them dynamically with visual feedback. ② Core math concepts include linear equations, one-variable equation modeling, the rectangle perimeter formula (2×(length+width)), and verification of solutions. ③ Construction highlights: using GeoGebra's Random command to generate random length and width, drawing the rectangle with Polygon, Segment, Angle, and Distance commands, labeling sides, providing Textfield and InputBox for user input, a button1 to check answers, and variables like perminus/perplus to show perimeter errors with dynamic text updates. ④ Suitable for middle school algebra classes focusing on linear equation applications, and useful for teachers demonstrating equation modeling or students practicing problem-solving with geometric visualization.

GeoGebra Commands & Parameters

  1. Random(30, 90) → w
  2. Random(2, 10) → b
  3. Random(1, ((b - 1) * w) - 5) → a
  4. Random(0, 1) → n
  5. Textfield(c) → InputBox1
  6. Textfield(d) → InputBox2
  7. Polygon(A, B, D, C) → poly1, a_1, b_1, d_1, c_1
  8. Segment(A, B) → j
  9. Segment(B, D) → k
  10. Segment(D, C) → l
  11. Segment(C, A) → m
  12. Angle(D, B, A) → α
  13. Angle(B, A, C) → β
  14. Angle(A, C, D) → γ
  15. Angle(C, D, B) → δ
  16. Distance(A, B) → distanceAB
  17. Distance(A, j) → distanceAj
  18. Distance(A, C) → distanceAC
  19. Textfield(f_1) → InputBox3