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Perimeter of a Rectangle: Solving Linear Equations

Perimeter of a Rectangle: Solving Linear Equations
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2016-11-03 05:39
PolygonFunctionCoordinate Geometry
This example demonstrates solving the perimeter of a rectangle using linear equations. Key math concepts include linear equations. GeoGebra commands used include Random, Textfield, Polygon, Segment, Angle, Distance, etc. Suitable for middle school math education.

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 randomly generated between 30 and 90, and a width randomly generated between 2 and 10. Calculate a random side length a that is less than b*w-5. Draw the four vertices and sides of the rectangle, and calculate and display the perimeter of the rectangle.
The prompt above was compiled from the original drawing commands and is for reference only.