Construct a Rectangle with Given Area (One Given Side)

GeoGebra Commands & Parameters

1. Intersect(xAxis, yAxis) → A
2. Point(xAxis) → C_1
3. Circle(A, 5) → c
4. Intersect(c, xAxis, 2) → B_1
5. Segment(C_1, B_1) → f
6. Point(f) → B
7. Polygon(A, B, 4) → poly1, g, h, i, j, C, D
8. Circle(A, Distance[A, B] + 5) → d
9. Intersect(d, yAxis, 2) → F_1
10. Circle(A, 1) → e
11. Intersect(e, yAxis) → G_1, H_1
12. Segment(H_1, F_1) → k
13. Point(k) → I
14. OrthogonalLine(I, yAxis) → l
15. OrthogonalLine(B, xAxis) → m
16. Intersect(l, m) → E
17. Segment(I, A) → p
18. Segment(A, E) → q
19. Intersect(i, q) → F
20. OrthogonalLine(F, l) → r
21. Intersect(l, r) → G
22. Intersect(r, g) → H
23. Polygon(A, H, G, I) → q1, a, m_1, l_1, i_1
24. Segment(I, E) → s
25. Ray(A, E) → t
26. Ray(D, C) → b
27. Ray(I, E) → f_1
28. Ray(A, B) → g_1
29. Intersect(t, b) → N
30. OrthogonalLine(N, xAxis) → h_1
31. Intersect(h_1, f_1) → O
32. Intersect(h_1, g_1) → P
33. Polygon(A, P, O, I) → q2, a_1, p_1, o, i_2
34. Segment(E, N) → k_1
35. Segment(I, O) → q_1
36. Segment(A, P) → r_1
37. Segment(G, F) → s_1
38. Segment(N, O) → n_1
39. Segment(O, P) → t_1
40. Segment(C, N) → j_1
41. Segment(E, C) → n
42. Segment(C, B) → b_1
43. Segment(C, D) → c_1
44. Segment(B, A) → d_1
45. Segment(D, A) → e_1
46. Segment(G, E) → f_2
47. Intersect(k_1, q) → J
48. Intersect(q, b_1) → K