MathPlotAI Logo MathPlotAI

Rectangular Pen Problem

Rectangular Pen Problem
Loading the math board and drawing, please wait…
2013-05-20 20:13
FunctionCoordinate GeometryOptimization
This example demonstrates how to construct a rectangular pen using GeoGebra with one side as the barn and three sides fenced with 100 feet of electric fencing. It involves core math concepts like coordinate geometry, function graphing, quadratic equations, and optimization. Key GeoGebra commands used include Intersect, Segment, Line, Polygon, Point, and Textfield for creating the structure and visualizing the problem, suitable for high school students learning about function graphs, quadratic equations, and real-world applications.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Segment(A, Fencetop) → fencelimit
  3. Line((instructionEdge + ((4 * indent) * screenwidth), 0), yAxis) → align3
  4. Line((instructionEdge + ((3 * indent) * screenwidth), 0), yAxis) → align2
  5. Polygon((-20, 0), (-20, (1.1 * fencelimit)), (0, (1.1 * fencelimit)), (0, 0)) → barn, d, j, k, l
  6. Line((instructionEdge + ((2 * indent) * screenwidth), 0), yAxis) → align1
  7. Point(fencelimit) → B
  8. Segment(B, Topgate) → e
  9. Segment(Topgate, Topcorner) → f
  10. Segment(A, Bottomgate) → g
  11. Segment(Bottomgate, Bottomcorner) → h
  12. Segment(Bottomcorner, Topcorner) → i
  13. Textfield(fence) → inputBox1
  14. Textfield(gate) → inputBox2

AI Drawing Prompt Reference

Draw a rectangular pen with one side as a barn and three sides fenced with 100 feet of electric fencing. Include a gate at the top and another at the bottom. The fence intersects the x-axis and y-axis, with the total length being 100 feet. Label the fence and gates with text annotations.
The prompt above was compiled from the original drawing commands and is for reference only.