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Rectangle Area and Perimeter

Rectangle Area and Perimeter
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2015-10-25 13:30
PolygonCoordinate GeometryGeometric Construction
This example demonstrates how to dynamically calculate the area and perimeter of a rectangle using GeoGebra. It involves core math concepts like area, perimeter, polygon, and coordinate geometry. Key GeoGebra commands used include Point, Segment, OrthogonalLine, Circle, Intersect, Polygon, Distance, and Perimeter for construction and calculation. Suitable for middle school students and above learning geometric calculations and GeoGebra operations.

GeoGebra Commands & Parameters

  1. Point(Circle[A, b]) → B
  2. Segment(A, B) → a_1
  3. OrthogonalLine(A, a_1) → c
  4. OrthogonalLine(B, a_1) → d
  5. Circle(B, a) → e
  6. Circle(A, a) → f
  7. Intersect(f, c, 2) → C
  8. Intersect(e, d, 2) → D
  9. Segment(C, D) → g
  10. Polygon(A, B, D, C) → poly1, a_2, b_1, d_1, c_1
  11. Distance(b_1, d_1) → h
  12. Perimeter(poly1) → perimeterpoly1

AI Drawing Prompt Reference

Draw a rectangle and dynamically calculate its area and perimeter. Start by drawing two intersecting line segments to form the sides of the rectangle. Then, draw circles with these segments as diameters and find their intersections with perpendicular lines to the sides. Connect these intersection points to complete the rectangle. Finally, calculate and display the area and perimeter of the rectangle.
The prompt above was compiled from the original drawing commands and is for reference only.