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Linear Equation Application: Perimeter of a Rectangle

Linear Equation Application: Perimeter of a Rectangle
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2018-07-22 07:02
PolygonCoordinate Geometry
This example demonstrates solving the perimeter of a rectangle using linear equations. Key mathematical concepts include linear equations and rectangle perimeter. It uses commands like constructing a polygon, calculating distance, etc. Suitable for middle school math education to help students understand the practical application of linear equations.

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

AI Drawing Prompt Reference

Draw a rectangle with a length of a randomly generated w and a width of a randomly generated a. The four vertices of the rectangle are A, B, C, and D, where AB and CD are the lengths, and AD and BC are the widths. Use segments to connect these points and calculate and display the lengths of AB and AD.
The prompt above was compiled from the original drawing commands and is for reference only.