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Optimization Text Rectangle

Optimization Text Rectangle
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2018-12-08 00:35
FunctionCoordinate GeometryIntegralOptimizationLocus
This example demonstrates how to construct and optimize a rectangle's area using GeoGebra. It involves core math concepts like coordinate geometry, functions, definite integrals, and optimization. Key GeoGebra commands and objects used include Polygon, Locus, area, height, width, and integral. Suitable for high school students and educators for learning and teaching purposes.

GeoGebra Commands & Parameters

  1. Polygon((a - width / 2, b + height / 2), (a - width / 2, b - height / 2), (a + width / 2, b + height / 2), (a + width / 2, b - height / 2)) → q1, f, g, h, i
  2. Polygon((a - width / 2, b + height / 2), (a + width / 2, b + height / 2), (a - width / 2, b - height / 2), (a + width / 2, b - height / 2)) → q2, j, k, l, m
  3. Polygon((a - width / 2, b + height / 2), (a - width / 2, b - height / 2), (a + width / 2, b + height / 2), (a + width / 2, b - height / 2)) → q3, n, p, q, r
  4. Polygon((a - width / 2, b + height / 2), (a + width / 2, b + height / 2), (a + width / 2, b - height / 2), (a - width / 2, b - height / 2)) → q4, s, t, c, d
  5. Polygon((a - width / 2 - right, b + height / 2 + top), (a + width / 2 + right, b + height / 2 + top), (a + width / 2 + right, b - height / 2 - top), (a - width / 2 - right, b - height / 2 - top)) → q5, e, f_1, g_1, h_1
  6. Locus(B, height) → loc1