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Perimeter of a Rectangle

Perimeter of a Rectangle
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2017-04-19 08:49
PolygonGeometric ConstructionSlider Animation
This example demonstrates how to calculate the perimeter of a rectangle using geometric construction. Key mathematical concepts include the properties of a rectangle and the calculation of its perimeter. Commands like Polygon, Sequence, and Rotate are used to construct the rectangle and its perimeter. Suitable for middle school and above students learning geometry and perimeter calculation.

GeoGebra Commands & Parameters

  1. Sort({x(A), x(B), x(C), x(D)}) → xvalues
  2. Sort({y(A), y(B), y(C), y(D)}) → yvalues
  3. Polygon(A, D, B, C) → poly1, a, d, b, c
  4. Sequence(Point[{xmin + c - i, ymin}], i, 1, c) → list8
  5. Sequence(Point[{xmin, ymin + i}], i, 0, a) → list5
  6. Sequence(Rotate[Point[{xmin + c, ymin + a - i}], (permtimer * ((-π)) / 2), (xmin + c, ymin)], i, 1, a) → list7
  7. Rotate(list5, (permtimer * ((-π)) / 2), list7(a)) → list12
  8. Sequence(Rotate[Point[{xmin + i, ymin + a}], (permtimer * ((-π)) / 2), list7(a)], i, 1, c) → list6
  9. Rotate(list12, (permtimer * ((-π)) / 2), list6(c)) → list13
  10. Rotate(list13, (permtimer * ((-π)) / 2), F) → list14
  11. Rotate(list6, (permtimer * ((-π)) / 2), list6(c)) → list11
  12. Sequence(Point[{Min[xvalues] + i, Min[yvalues] - 4}], i, 0, Area - 1) → arealist
  13. Flatten(Sequence[Sequence[Point[{Min[xvalues] + i, Min[yvalues] + j}], i, 0, c - 1], j, 0, a - 1]) → list1
  14. Sequence((list1(i) * (1 - areatimer)) + (arealist(i) * areatimer), i, 1, Area) → list2
  15. Sequence(Polygon[list2(i), list2(i) + (1, 0), 4], i, 1, Area) → list3
  16. Sequence(Polygon[arealist(i), arealist(i) + (1, 0), 4], i, 1, Area) → list4
  17. Sequence(Text[i, arealist(i) + (0.1, 0.2)], i, 1, Area) → areanumbers
  18. Flatten({Reverse[list8], Reverse[list7], Reverse[list11], Reverse[list14]}) → list9
  19. Sequence(Point[{Min[xvalues] + i, Min[yvalues] - 2}], i, 0, perm) → permlist
  20. Sequence((permlist(i) * permmover) + (list9(i) * (1 - permmover)), i, 1, Length[list9]) → list10
  21. Sequence(Segment[list10(i), list10(i + 1)], i, 1, perm) → list15
  22. Max(a + 1, ((R - L) * 17.4 / 32) + BOT) → T

AI Drawing Prompt Reference

Draw a rectangle and calculate its perimeter. First, create four points A, B, C, and D to form a rectangle. Then, use the Polygon command to draw the rectangle. Next, create the perimeter segments by rotating and using sequence commands. Finally, add text to display the perimeter value.
The prompt above was compiled from the original drawing commands and is for reference only.