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Quick Calculation of Rectangle Area

Quick Calculation of Rectangle Area
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2020-04-11 23:03
PolygonCoordinate GeometryGeometric Construction
This example demonstrates a quick way to calculate the area of a rectangle. Key mathematical concepts include geometric construction and coordinate geometry. Using GeoGebra commands such as Point, Segment, Polygon, etc., the length and breadth of the rectangle are visually demonstrated, and the area is calculated. Suitable for middle school and above students to learn geometry and area calculation.

GeoGebra Commands & Parameters

  1. Point(Circle[A, length]) → B
  2. Segment(A, B) → a
  3. Circle(A, breadth) → c
  4. OrthogonalLine(A, a) → b
  5. Intersect(c, b) → C, D
  6. Line(D, a) → d
  7. Line(B, b) → e
  8. Intersect(d, e) → E
  9. Polygon(A, D, E, B) → poly1, a_1, d_1, e_1, b_1

AI Drawing Prompt Reference

Draw a rectangle by first drawing a segment AB with length length from point A, then drawing a circle with center A and radius breadth, followed by drawing a line b perpendicular to AB, which intersects the circle at points C and D. Draw a line d through D parallel to AB and a line e through B parallel to b, which intersect at point E. Finally, use points A, D, E, and B to draw a quadrilateral, which is the rectangle, and calculate its area.
The prompt above was compiled from the original drawing commands and is for reference only.