MathPlotAI Logo MathPlotAI

Perimeter and Area Calculation

Perimeter and Area Calculation
Loading the math board and drawing, please wait…
2018-11-02 03:46
Solid GeometryGeometric ConstructionSlider Animation
This example demonstrates the calculation of perimeter and area for a rectangular prism. It involves core mathematical concepts such as perimeter, area, statistical characteristics of solids, and arithmetic mean. The construction uses GeoGebra commands and objects like Segment, Point, Length, UnicodeToLetter, Line, Intersect, Polygon, Perimeter, If, and LaTeX. Suitable for middle school and above students learning solid geometry and geometric calculations.

GeoGebra Commands & Parameters

  1. Segment(E, E + (20, 0)) → mySlider
  2. Point(mySlider) → S
  3. Length(Segment[E, S]) → width
  4. UnicodeToLetter(10007) → xmark
  5. UnicodeToLetter(10003) → cmark
  6. Line(A, yAxis) → l_1
  7. Line(B, yAxis) → l_2
  8. Intersect(l_2, Line[C, xAxis]) → D
  9. Polygon(C, A, B, D) → q1, c, a_1, b, d
  10. Length(Segment[A, C]) → length
  11. Perimeter(q1) → perim
  12. Length(Segment[E, S]) → test
  13. Segment(A - (2, 0), A + (sum3Sides + 2, 0)) → f
  14. If(length ≟ 0, "length", If[width ≟ 0, "width", ""]) → zeroDimension
  15. LaTeX((("\text{Recognize that when the " * zeroDimension) * " is 0 units, no rectangle exists.}")) → msgNoRectangle
  16. LaTeX("\text{\textbf{Instructions: }Move the slider to change the width of the rectangle. }") → SpecInstruc
  17. LaTeX("\text{\textbf{Question: }On the rectangle pictured below, the sum of the \(3\) enclosing side lengths \\(excluding the bottom side) is fixed. How are the length and the area of the rectangle\\affected as the width of the rectangle changes? What are the dimensions when the \\area is a maximum?}") → MainInstruc