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Measure the Area of a 2-D Shape

Measure the Area of a 2-D Shape
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2014-12-10 11:15
Coordinate GeometryGeometric Construction
In collections P4 Area (I)
This example demonstrates measuring the area of a 2-D shape by counting the squares it covers. Key mathematical concepts include area calculation. It uses Segment, Vector, Point, and other GeoGebra commands. Suitable for high-grade elementary or junior high school students.

GeoGebra Commands & Parameters

  1. Segment(X0, X0 + (0, mark)) → h
  2. Segment(X0 + (1, 0), X0 + (1, mark)) → i
  3. Vector(X0 + (0, mark / 2), X0 + (1, mark / 2)) → u
  4. Vector(X0 + (1, mark / 2), X0 + (0, mark / 2)) → v
  5. Segment(Y0 - (mark, 0), Y0) → j
  6. Segment(Y0 - (mark, 1), Y0 - (0, 1)) → k
  7. Vector(Y0 - (mark / 2, 1), Y0 - (mark / 2, 0)) → w
  8. Vector(Y0 - (mark / 2, 0), Y0 - (mark / 2, 1)) → z
  9. Point(Ray[A, A + (1, 0)]) → B
  10. Point(Ray[A, A + (0, 1)]) → C