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Calculating the Perimeter of a Rectangle

Calculating the Perimeter of a Rectangle
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2017-10-17 17:54
PolygonVectorCalculus
In collections Perimeter of rectangle and square
This example demonstrates how to calculate the perimeter of a rectangle using geometric construction. Key mathematical concepts include the properties of rectangles and perimeter calculation. GeoGebra commands such as Point, Segment, Polygon are used for construction. Suitable for middle school and above students to learn geometry and basic geometric construction skills.

GeoGebra Commands & Parameters

  1. Point(Circle[D, length]) → C
  2. Segment(D, C) → f
  3. Circle(D, width) → c
  4. OrthogonalLine(D, f) → g
  5. Circle(C, width) → d
  6. OrthogonalLine(C, f) → h
  7. Intersect(c, g, 1) → A
  8. Intersect(d, h, 1) → B
  9. Polygon(A, B, C, D) → Vieleck1, a_1, b_1, c_1, d_1
  10. Textfield(u) → Eingabefeld1
  11. Perimeter(Polygon[A, B, C, D]) → e

AI Drawing Prompt Reference

Draw a rectangle and calculate its perimeter. Start by drawing a circle centered at point D, then take point C on this circle. Connect D and C to form segment f. Draw a circle centered at D and a line perpendicular to f. Draw another circle centered at C and a line perpendicular to f. The intersection of line g and circle c is point A, and the intersection of line h and circle d is point B. Connect points A, B, C, and D to form a rectangle and calculate its perimeter.
The prompt above was compiled from the original drawing commands and is for reference only.