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Rectangle Area Calculation Demo

Rectangle Area Calculation Demo
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2018-12-12 04:16
Geometric Construction
This example demonstrates how to calculate the area of a rectangle through dynamic geometry. It involves core math concepts like area, rectangle, plane geometry, division, reflection, square, and special points. Construction highlights include commands like Point, Join, LaTeX, Polygon, Sequence, TableText, and Segment in GeoGebra. Suitable for middle school and above students to learn geometric area calculation methods.

GeoGebra Commands & Parameters

  1. Point(Segment[(2, 0), (13, 0)]) → S
  2. Join({Sequence["white", i, 1, width - 1], {"#fff59d"}, Sequence["white", i, width + 1, Max[13, width + 1]]}) → RowColours
  3. LaTeX("\text{\textbf{Instructions: }Move the slider to change the width of the rectangle.}") → SpecInstruc
  4. Polygon(D, A, B, C) → q1, d, a, b, c
  5. Sequence(Sequence[(((("\cellcolor{" * Element[RowColours, j]) * "}{") * Element[tblVals, i, j]) * "}"), i, 1, 3], j, 1, maxWidth) → ListData
  6. Join({ListHeader, ListData}) → FullList
  7. TableText(FullList, "|111_111111111111l") → displayTbl
  8. Segment(A + (-2, 0), B + (2, 0)) → base
  9. LaTeX((((((((((("\text{Width = }" * width) * "\\") * "\text{Length = }") * length) * "\\") * "\text{Sum of 3 sides = }") * sum3Sides) * "\\") * "\text{Area = }") * fixedArea)) → DisplayOutput
  10. LaTeX("\text{\textbf{Question: }The rectangle pictured below has a fixed area. Consider the length, the \\area, and sum of the \(3\) side lengths of the rectangle, excluding the bottom side. \\How do changes in the width of the rectangle affect these values? What are \\the dimensions of the rectangle when the sum of the \(3\) side lengths is a minimum?}") → MainInstruc
  11. LaTeX(((MainInstruc * "\\") * SpecInstruc)) → CompleteInstruc
  12. Segment((2, 0), (13, 0)) → mySlider