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Area and Perimeter Challenge: Exploring Geometric Construction

Area and Perimeter Challenge: Exploring Geometric Construction
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2015-06-18 04:12
Parametric EquationGeometric ConstructionLocusGraphing
This example demonstrates how to construct shapes that meet specific area and perimeter requirements. Key mathematical concepts include area calculation, perimeter calculation, geometric construction, and parametric equations. Construction involves using GeoGebra commands like Polygon, Perimeter, If, Sum to build polygons and control their parameters. Suitable for middle school students and above for geometry learning and mathematical modeling.

GeoGebra Commands & Parameters

  1. Polygon(M, N, W, O, P, Q, R, S, T, U, V) → poly3, m, v, w, n, o, p, q, r, s, t, u
  2. Perimeter(poly3) → Perimeter3
  3. If(Perimeter3 ≟ 14 ∧ poly3 ≟ 7, 1, 0) → Answer3
  4. Polygon(E, F, G, H, I, J, K, L) → poly2, e, f, g, h, i, j, k, l
  5. Perimeter(poly2) → Perimeter2
  6. If(Perimeter2 ≟ 8 ∧ poly2 ≟ 3, 1, 0) → Answer2
  7. Polygon(A, B, C, D) → poly1, a, b, c, d
  8. Perimeter(poly1) → Perimeter1
  9. If(Perimeter1 ≟ 10 ∧ poly1 ≟ 6, 1, 0) → Answer1
  10. Sum(A3:A5) → A2