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Area of Rectangles and Squares by GeoGebra Institute of Hong Kong (2)

Area of Rectangles and Squares by GeoGebra Institute of Hong Kong (2)
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2014-12-09 14:47
PolygonGeometric Construction
In collections P4 Area (I)
This example demonstrates how to calculate the area of rectangles and squares using geometric construction. Key mathematical concepts include the area formulas for rectangles and squares. Using GeoGebra commands such as Polygon, Point, and Segment, the dimensions of rectangles and squares can be dynamically changed to observe how the area changes. Suitable for middle school and above students learning geometry and area calculation.

GeoGebra Commands & Parameters

  1. Polygon((1, 0), (2, 0), (2, 1), (1, 1)) → poly2, e, f, g, h
  2. Polygon((2, 0), (3, 0), (3, 1), (2, 1)) → poly3, i, j, k, l
  3. Polygon((3, 0), (4, 0), (4, 1), (3, 1)) → poly4, m, n, p, q
  4. Polygon((4, 0), (5, 0), (5, 1), (4, 1)) → poly5, r, s, t, a_1
  5. Polygon((5, 0), (6, 0), (6, 1), (5, 1)) → poly6, b_1, c_1, d_1, e_1
  6. Polygon((6, 0), (7, 0), (7, 1), (6, 1)) → poly7, f_1, g_1, h_1, i_1
  7. Polygon((7, 0), (8, 0), (8, 1), (7, 1)) → poly8, j_1, k_1, l_1, m_1
  8. Polygon((8, 0), (9, 0), (9, 1), (8, 1)) → poly9, n_1, p_1, q_1, r_1
  9. Polygon((9, 0), (10, 0), (10, 1), (9, 1)) → poly10, s_1, t_1, a_2, b_2
  10. Polygon((10, 0), (11, 0), (11, 1), (10, 1)) → poly11, c_2, d_2, e_2, f_2
  11. Polygon((11, 0), (12, 0), (12, 1), (11, 1)) → poly12, g_2, h_2, i_2, j_2
  12. Polygon((0, 1), (1, 1), (1, 2), (0, 2)) → poly16, d_3, e_3, f_3, g_3
  13. Polygon((1, 1), (2, 1), (2, 2), (1, 2)) → poly17, h_3, i_3, j_3, k_3
  14. Polygon((2, 1), (3, 1), (3, 2), (2, 2)) → poly18, l_3, m_3, n_3, p_3
  15. Polygon((3, 1), (4, 1), (4, 2), (3, 2)) → poly19, q_3, r_3, s_3, t_3
  16. Polygon((4, 1), (5, 1), (5, 2), (4, 2)) → poly20, a_4, b_4, c_4, d_4
  17. Polygon((5, 1), (6, 1), (6, 2), (5, 2)) → poly21, e_4, f_4, g_4, h_4
  18. Polygon((6, 1), (7, 1), (7, 2), (6, 2)) → poly22, i_4, j_4, k_4, l_4
  19. Polygon((7, 1), (8, 1), (8, 2), (7, 2)) → poly23, m_4, n_4, p_4, q_4
  20. Polygon((8, 0.9999999999999996), (9, 0.9999999999999996), (9, 1.9999999999999996), (8, 1.9999999999999996)) → poly24, r_4, s_4, t_4, a_5
  21. Polygon((9, 1), (10, 1), (10, 2), (9, 2)) → poly25, b_5, c_5, d_5, e_5
  22. Polygon((10, 1), (11, 1), (11, 2), (10, 2)) → poly26, f_5, g_5, h_5, i_5
  23. Polygon((11, 1), (12, 1), (12, 2), (11, 2)) → poly27, j_5, k_5, l_5, m_5
  24. Polygon((0, 2), (1, 2), (1, 3), (0, 3)) → poly31, g_6, h_6, i_6, j_6
  25. Polygon((1, 2), (2, 2), (2, 3), (1, 3)) → poly32, k_6, l_6, m_6, n_6
  26. Polygon((2, 2), (3, 2), (3, 3), (2, 3)) → poly33, p_6, q_6, r_6, s_6
  27. Polygon((3, 2), (4, 2), (4, 3), (3, 3)) → poly34, t_6, a_7, b_7, c_7
  28. Polygon((4, 2), (5, 2), (5, 3), (4, 3)) → poly35, d_7, e_7, f_7, g_7
  29. Polygon((5, 2), (6, 2), (6, 3), (5, 3)) → poly36, h_7, i_7, j_7, k_7
  30. Polygon((6, 2), (7, 2), (7, 3), (6, 3)) → poly37, l_7, m_7, n_7, p_7
  31. Polygon((7, 2), (8, 2), (8, 3), (7, 3)) → poly38, q_7, r_7, s_7, t_7
  32. Polygon((8, 2), (9, 2), (9, 3), (8, 3)) → poly39, a_8, b_8, c_8, d_8
  33. Polygon((9, 2), (10, 2), (10, 3), (9, 3)) → poly40, e_8, f_8, g_8, h_8
  34. Polygon((10, 2), (11, 2), (11, 3), (10, 3)) → poly41, i_8, j_8, k_8, l_8
  35. Polygon((11, 2), (12, 2), (12, 3), (11, 3)) → poly42, m_8, n_8, p_8, q_8
  36. Polygon((0, 3), (1, 3), (1, 4), (0, 4)) → poly46, j_9, k_9, l_9, m_9
  37. Polygon((1, 3), (2, 3), (2, 4), (1, 4)) → poly47, n_9, p_9, q_9, r_9
  38. Polygon((2, 3), (3, 3), (3, 4), (2, 4)) → poly48, s_9, t_9, a_{10}, b_{10}
  39. Polygon((3, 3), (4, 3), (4, 4), (3, 4)) → poly49, c_{10}, d_{10}, e_{10}, f_{10}
  40. Polygon((4, 3), (5, 3), (5, 4), (4, 4)) → poly50, g_{10}, h_{10}, i_{10}, j_{10}
  41. Polygon((5, 3), (6, 3), (6, 4), (5, 4)) → poly51, k_{10}, l_{10}, m_{10}, n_{10}
  42. Polygon((6, 2.999999999999999), (7, 2.999999999999999), (7, 3.999999999999999), (6, 3.999999999999999)) → poly52, p_{10}, q_{10}, r_{10}, s_{10}
  43. Polygon((7, 3), (8, 3), (8, 4), (7, 4)) → poly53, t_{10}, a_{11}, b_{11}, c_{11}
  44. Polygon((8, 3), (9, 3), (9, 4), (8, 4)) → poly54, d_{11}, e_{11}, f_{11}, g_{11}
  45. Polygon((9, 3), (10, 3), (10, 4), (9, 4)) → poly55, h_{11}, i_{11}, j_{11}, k_{11}
  46. Polygon((10, 3), (11, 3), (11, 4), (10, 4)) → poly56, l_{11}, m_{11}, n_{11}, p_{11}
  47. Polygon((11, 3), (12, 3), (12, 4), (11, 4)) → poly57, q_{11}, r_{11}, s_{11}, t_{11}
  48. Polygon((0, 4), (1, 4), (1, 5), (0, 5)) → poly61, m_{12}, n_{12}, p_{12}, q_{12}
  49. Polygon((1, 4), (2, 4), (2, 5), (1, 5)) → poly62, r_{12}, s_{12}, t_{12}, a_{13}
  50. Polygon((3, 4), (4, 4), (4, 5), (3, 5)) → poly64, f_{13}, g_{13}, h_{13}, i_{13}
  51. Polygon((4, 4), (5, 4), (5, 5), (4, 5)) → poly65, j_{13}, k_{13}, l_{13}, m_{13}
  52. Polygon((5, 4), (6, 4), (6, 5), (5, 5)) → poly66, n_{13}, p_{13}, q_{13}, r_{13}
  53. Polygon((6, 4), (7, 4), (7, 5), (6, 5)) → poly67, s_{13}, t_{13}, a_{14}, b_{14}
  54. Polygon((7, 4), (8, 4), (8, 5), (7, 5)) → poly68, c_{14}, d_{14}, e_{14}, f_{14}
  55. Polygon((8, 4), (9, 4), (9, 5), (8, 5)) → poly69, g_{14}, h_{14}, i_{14}, j_{14}
  56. Polygon((9, 4), (10, 4), (10, 5), (9, 5)) → poly70, k_{14}, l_{14}, m_{14}, n_{14}
  57. Polygon((9.999999999999998, 4), (10.999999999999998, 4), (10.999999999999998, 5), (9.999999999999998, 5)) → poly71, p_{14}, q_{14}, r_{14}, s_{14}
  58. Polygon((11, 4), (12, 4), (12, 5), (11, 5)) → poly72, t_{14}, a_{15}, b_{15}, c_{15}
  59. Polygon((0, 5), (1, 5), (1, 6), (0, 6)) → poly76, q_{15}, r_{15}, s_{15}, t_{15}
  60. Polygon((1, 5), (2, 5), (2, 6), (1, 6)) → poly77, a_{16}, b_{16}, c_{16}, d_{16}
  61. Polygon((2, 5), (3, 5), (3, 6), (2, 6)) → poly78, e_{16}, f_{16}, g_{16}, h_{16}
  62. Polygon((3, 5), (4, 5), (4, 6), (3, 6)) → poly79, i_{16}, j_{16}, k_{16}, l_{16}
  63. Polygon((4, 5), (5, 5), (5, 6), (4, 6)) → poly80, m_{16}, n_{16}, p_{16}, q_{16}
  64. Polygon((5, 4.999999999999998), (6, 4.999999999999998), (6, 5.999999999999998), (5, 5.999999999999998)) → poly81, r_{16}, s_{16}, t_{16}, a_{17}
  65. Polygon((6, 5), (7, 5), (7, 6), (6, 6)) → poly82, b_{17}, c_{17}, d_{17}, e_{17}
  66. Polygon((7, 5), (8, 5), (8, 6), (7, 6)) → poly83, f_{17}, g_{17}, h_{17}, i_{17}
  67. Polygon((8, 5), (9, 5), (9, 6), (8, 6)) → poly84, j_{17}, k_{17}, l_{17}, m_{17}
  68. Polygon((9, 4.999999999999998), (10, 4.999999999999998), (10, 5.999999999999998), (9, 5.999999999999998)) → poly85, n_{17}, p_{17}, q_{17}, r_{17}
  69. Polygon((10, 5), (11, 5), (11, 6), (10, 6)) → poly86, s_{17}, t_{17}, a_{18}, b_{18}
  70. Polygon((11, 5), (12, 5), (12, 6), (11, 6)) → poly87, c_{18}, d_{18}, e_{18}, f_{18}
  71. Polygon((0, 6), (1, 6), (1, 7), (0, 7)) → poly91, t_{18}, a_{19}, b_{19}, c_{19}
  72. Polygon((1, 6), (2, 6), (2, 7), (1, 7)) → poly92, d_{19}, e_{19}, f_{19}, g_{19}
  73. Polygon((2, 6), (3, 6), (3, 7), (2, 7)) → poly93, h_{19}, i_{19}, j_{19}, k_{19}
  74. Polygon((3, 6), (4, 6), (4, 7), (3, 7)) → poly94, l_{19}, m_{19}, n_{19}, p_{19}
  75. Polygon((4, 6), (5, 6), (5, 7), (4, 7)) → poly95, q_{19}, r_{19}, s_{19}, t_{19}
  76. Polygon((5, 6), (6, 6), (6, 7), (5, 7)) → poly96, a_{20}, b_{20}, c_{20}, d_{20}
  77. Polygon((6, 5.999999999999998), (7, 5.999999999999998), (7, 6.999999999999998), (6, 6.999999999999998)) → poly97, e_{20}, f_{20}, g_{20}, h_{20}
  78. Polygon((7, 6), (8, 6), (8, 7), (7, 7)) → poly98, i_{20}, j_{20}, k_{20}, l_{20}
  79. Polygon((8, 5.999999999999998), (9, 5.999999999999998), (9, 6.999999999999998), (8, 6.999999999999998)) → poly99, m_{20}, n_{20}, p_{20}, q_{20}
  80. Polygon((9, 6), (10, 6), (10, 7), (9, 7)) → poly100, r_{20}, s_{20}, t_{20}, a_{21}
  81. Polygon((10, 6), (11, 6), (11, 7), (10, 7)) → poly101, b_{21}, c_{21}, d_{21}, e_{21}
  82. Polygon((11, 6), (12, 6), (12, 7), (11, 7)) → poly102, f_{21}, g_{21}, h_{21}, i_{21}
  83. Polygon((0, 7), (1, 7), (1, 8), (0, 8)) → poly106, c_{22}, d_{22}, e_{22}, f_{22}
  84. Polygon((1, 7), (2, 7), (2, 8), (1, 8)) → poly107, g_{22}, h_{22}, i_{22}, j_{22}
  85. Polygon((2, 7), (3, 7), (3, 8), (2, 8)) → poly108, k_{22}, l_{22}, m_{22}, n_{22}
  86. Polygon((3, 7), (4, 7), (4, 8), (3, 8)) → poly109, p_{22}, q_{22}, r_{22}, s_{22}
  87. Polygon((4, 7), (5, 7), (5, 8), (4, 8)) → poly110, t_{22}, a_{23}, b_{23}, c_{23}
  88. Polygon((5, 7), (6, 7), (6, 8), (5, 8)) → poly111, d_{23}, e_{23}, f_{23}, g_{23}
  89. Polygon((6, 7), (7, 7), (7, 8), (6, 8)) → poly112, h_{23}, i_{23}, j_{23}, k_{23}
  90. Polygon((7, 7), (8, 7), (8, 8), (7, 8)) → poly113, l_{23}, m_{23}, n_{23}, p_{23}
  91. Polygon((8, 7), (9, 7), (9, 8), (8, 8)) → poly114, q_{23}, r_{23}, s_{23}, t_{23}
  92. Polygon((9, 7), (10, 7), (10, 8), (9, 8)) → poly115, a_{24}, b_{24}, c_{24}, d_{24}
  93. Polygon((9.999999999999998, 7), (10.999999999999998, 7), (10.999999999999998, 8), (9.999999999999998, 8)) → poly116, e_{24}, f_{24}, g_{24}, h_{24}
  94. Polygon((11, 6.999999999999998), (12, 6.999999999999998), (12, 7.999999999999998), (11, 7.999999999999998)) → poly117, i_{24}, j_{24}, k_{24}, l_{24}
  95. Polygon((9, 9), (10, 9), (10, 10), (9, 10)) → poly145, g_{30}, h_{30}, i_{30}, j_{30}
  96. Polygon((2, 4), (3, 4), (3, 5), (2, 5)) → poly63, b_{13}, c_{13}, d_{13}, e_{13}
  97. Polygon((0, 0), (1, 0), (1, 1), (0, 1)) → poly1, a, b, c, d
  98. Point(Sequence[Sequence[(i, j), i, 0, 15], j, 0, 10]) → P
  99. Segment((0, 0), (x(P), 0)) → l_{31}
  100. Segment((x(P), 0), P) → m_{31}
  101. Segment(P, (0, y(P))) → n_{31}
  102. Segment((0, 0), (0, y(P))) → p_{31}
  103. Polygon((0, 0), (1, 0), (1, 1), (0, 1)) → qoly1, q_{31}, r_{31}, s_{31}, t_{31}
  104. Polygon((1, 0), (2, 0), (2, 1), (1, 1)) → qoly2, a_{32}, b_{32}, c_{32}, d_{32}
  105. Polygon((2, 0), (3, 0), (3, 1), (2, 1)) → qoly3, e_{32}, f_{32}, g_{32}, h_{32}
  106. Polygon((3, 0), (4, 0), (4, 1), (3, 1)) → qoly4, i_{32}, j_{32}, k_{32}, l_{32}
  107. Polygon((4, 0), (5, 0), (5, 1), (4, 1)) → qoly5, m_{32}, n_{32}, p_{32}, q_{32}
  108. Polygon((5, 0), (6, 0), (6, 1), (5, 1)) → qoly6, r_{32}, s_{32}, t_{32}, a_{33}
  109. Polygon((7, 0), (8, 0), (8, 1), (7, 1)) → qoly8, b_{33}, c_{33}, d_{33}, e_{33}
  110. Polygon((8, 0), (9, 0), (9, 1), (8, 1)) → qoly9, f_{33}, g_{33}, h_{33}, i_{33}
  111. Polygon((9, 0), (10, 0), (10, 1), (9, 1)) → qoly10, j_{33}, k_{33}, l_{33}, m_{33}
  112. Polygon((10, 0), (11, 0), (11, 1), (10, 1)) → qoly11, n_{33}, p_{33}, q_{33}, r_{33}
  113. Polygon((6, 0), (7, 0), (7, 1), (6, 1)) → qoly7, s_{33}, t_{33}, a_{34}, b_{34}
  114. Polygon((11, 0), (12, 0), (12, 1), (11, 1)) → qoly12, c_{34}, d_{34}, e_{34}, f_{34}
  115. Polygon((0, 1), (1, 1), (1, 2), (0, 2)) → qoly16, g_{34}, h_{34}, i_{34}, j_{34}
  116. Polygon((1, 1), (2, 1), (2, 2), (1, 2)) → qoly17, k_{34}, l_{34}, m_{34}, n_{34}
  117. Polygon((2, 1), (3, 1), (3, 2), (2, 2)) → qoly18, p_{34}, q_{34}, r_{34}, s_{34}
  118. Polygon((2.999999999999999, 1), (3.999999999999999, 1), (3.999999999999999, 2), (2.999999999999999, 2)) → qoly19, t_{34}, a_{35}, b_{35}, c_{35}
  119. Polygon((4, 1), (5, 1), (5, 2), (4, 2)) → qoly20, d_{35}, e_{35}, f_{35}, g_{35}
  120. Polygon((5, 1), (6, 1), (6, 2), (5, 2)) → qoly21, h_{35}, i_{35}, j_{35}, k_{35}
  121. Polygon((7, 1), (8, 1), (8, 2), (7, 2)) → qoly23, l_{35}, m_{35}, n_{35}, p_{35}
  122. Polygon((6, 1), (7, 1), (7, 2), (6, 2)) → qoly22, q_{35}, r_{35}, s_{35}, t_{35}
  123. Polygon((8, 1), (9, 1), (9, 2), (8, 2)) → qoly24, a_{36}, b_{36}, c_{36}, d_{36}
  124. Polygon((9, 1), (10, 1), (10, 2), (9, 2)) → qoly25, e_{36}, f_{36}, g_{36}, h_{36}
  125. Polygon((10, 1), (11, 1), (11, 2), (10, 2)) → qoly26, i_{36}, j_{36}, k_{36}, l_{36}
  126. Polygon((11, 1), (12, 1), (12, 2), (11, 2)) → qoly27, m_{36}, n_{36}, p_{36}, q_{36}
  127. Polygon((0, 2), (1, 2), (1, 3), (0, 3)) → qoly31, r_{36}, s_{36}, t_{36}, a_{37}
  128. Polygon((1, 2), (2, 2), (2, 3), (1, 3)) → qoly32, b_{37}, c_{37}, d_{37}, e_{37}
  129. Polygon((2, 1.9999999999999964), (3, 1.9999999999999964), (3, 2.9999999999999964), (2, 2.9999999999999964)) → qoly33, f_{37}, g_{37}, h_{37}, i_{37}
  130. Polygon((3, 2), (4, 2), (4, 3), (3, 3)) → qoly34, j_{37}, k_{37}, l_{37}, m_{37}
  131. Polygon((4, 2), (5, 2), (5, 3), (4, 3)) → qoly35, n_{37}, p_{37}, q_{37}, r_{37}
  132. Polygon((5, 2), (6, 2), (6, 3), (5, 3)) → qoly36, s_{37}, t_{37}, a_{38}, b_{38}
  133. Polygon((5.999999999999999, 2), (6.999999999999999, 2), (6.999999999999999, 3), (5.999999999999999, 3)) → qoly37, c_{38}, d_{38}, e_{38}, f_{38}
  134. Polygon((7, 2), (8, 2), (8, 3), (7, 3)) → qoly38, g_{38}, h_{38}, i_{38}, j_{38}
  135. Polygon((8, 2), (9, 2), (9, 3), (8, 3)) → qoly39, k_{38}, l_{38}, m_{38}, n_{38}
  136. Polygon((9, 2), (10, 2), (10, 3), (9, 3)) → qoly40, p_{38}, q_{38}, r_{38}, s_{38}
  137. Polygon((10, 2), (11, 2), (11, 3), (10, 3)) → qoly41, t_{38}, a_{39}, b_{39}, c_{39}
  138. Polygon((11, 2), (12, 2), (12, 3), (11, 3)) → qoly42, d_{39}, e_{39}, f_{39}, g_{39}
  139. Polygon((0, 3), (1, 3), (1, 4), (0, 4)) → qoly46, h_{39}, i_{39}, j_{39}, k_{39}
  140. Polygon((1, 3), (2, 3), (2, 4), (1, 4)) → qoly47, l_{39}, m_{39}, n_{39}, p_{39}
  141. Polygon((2, 3), (3, 3), (3, 4), (2, 4)) → qoly48, q_{39}, r_{39}, s_{39}, t_{39}
  142. Polygon((3, 3), (4, 3), (4, 4), (3, 4)) → qoly49, a_{40}, b_{40}, c_{40}, d_{40}
  143. Polygon((4, 3), (5, 3), (5, 4), (4, 4)) → qoly50, e_{40}, f_{40}, g_{40}, h_{40}
  144. Polygon((5, 3), (6, 3), (6, 4), (5, 4)) → qoly51, i_{40}, j_{40}, k_{40}, l_{40}
  145. Polygon((6, 3), (7, 3), (7, 4), (6, 4)) → qoly52, m_{40}, n_{40}, p_{40}, q_{40}
  146. Polygon((7, 3), (8, 3), (8, 4), (7, 4)) → qoly53, r_{40}, s_{40}, t_{40}, a_{41}
  147. Polygon((8, 3), (9, 3), (9, 4), (8, 4)) → qoly54, b_{41}, c_{41}, d_{41}, e_{41}
  148. Polygon((8.999999999999996, 3), (9.999999999999996, 3), (9.999999999999996, 4), (8.999999999999996, 4)) → qoly55, f_{41}, g_{41}, h_{41}, i_{41}
  149. Polygon((10, 3), (11, 3), (11, 4), (10, 4)) → qoly56, j_{41}, k_{41}, l_{41}, m_{41}
  150. Polygon((11, 3), (12, 3), (12, 4), (11, 4)) → qoly57, n_{41}, p_{41}, q_{41}, r_{41}
  151. Polygon((0, 4), (1, 4), (1, 5), (0, 5)) → qoly61, s_{41}, t_{41}, a_{42}, b_{42}
  152. Polygon((1, 4), (2, 4), (2, 5), (1, 5)) → qoly62, c_{42}, d_{42}, e_{42}, f_{42}
  153. Polygon((2, 4), (3, 4), (3, 5), (2, 5)) → qoly63, g_{42}, h_{42}, i_{42}, j_{42}
  154. Polygon((3, 4), (4, 4), (4, 5), (3, 5)) → qoly64, k_{42}, l_{42}, m_{42}, n_{42}
  155. Polygon((4, 4), (5, 4), (5, 5), (4, 5)) → qoly65, p_{42}, q_{42}, r_{42}, s_{42}
  156. Polygon((5, 4), (6, 4), (6, 5), (5, 5)) → qoly66, t_{42}, a_{43}, b_{43}, c_{43}
  157. Polygon((6, 4), (7, 4), (7, 5), (6, 5)) → qoly67, d_{43}, e_{43}, f_{43}, g_{43}
  158. Polygon((7, 4), (8, 4), (8, 5), (7, 5)) → qoly68, h_{43}, i_{43}, j_{43}, k_{43}
  159. Polygon((8, 4), (9, 4), (9, 5), (8, 5)) → qoly69, l_{43}, m_{43}, n_{43}, p_{43}
  160. Polygon((9, 4), (10, 4), (10, 5), (9, 5)) → qoly70, q_{43}, r_{43}, s_{43}, t_{43}
  161. Polygon((10, 4), (11, 4), (11, 5), (10, 5)) → qoly71, a_{44}, b_{44}, c_{44}, d_{44}
  162. Polygon((11, 4), (12, 4), (12, 5), (11, 5)) → qoly72, e_{44}, f_{44}, g_{44}, h_{44}
  163. Polygon((0, 5), (1, 5), (1, 6), (0, 6)) → qoly76, i_{44}, j_{44}, k_{44}, l_{44}
  164. Polygon((1, 5), (2, 5), (2, 6), (1, 6)) → qoly77, m_{44}, n_{44}, p_{44}, q_{44}
  165. Polygon((2, 5), (3, 5), (3, 6), (2, 6)) → qoly78, r_{44}, s_{44}, t_{44}, a_{45}
  166. Polygon((3, 5), (4, 5), (4, 6), (3, 6)) → qoly79, b_{45}, c_{45}, d_{45}, e_{45}
  167. Polygon((4, 5), (5, 5), (5, 6), (4, 6)) → qoly80, f_{45}, g_{45}, h_{45}, i_{45}
  168. Polygon((5, 5), (6, 5), (6, 6), (5, 6)) → qoly81, j_{45}, k_{45}, l_{45}, m_{45}
  169. Polygon((6, 5), (7, 5), (7, 6), (6, 6)) → qoly82, n_{45}, p_{45}, q_{45}, r_{45}
  170. Polygon((7, 5.000000000000002), (8, 5.000000000000002), (8, 6.000000000000002), (7, 6.000000000000002)) → qoly83, s_{45}, t_{45}, a_{46}, b_{46}
  171. Polygon((8, 5), (9, 5), (9, 6), (8, 6)) → qoly84, c_{46}, d_{46}, e_{46}, f_{46}
  172. Polygon((9, 5), (10, 5), (10, 6), (9, 6)) → qoly85, g_{46}, h_{46}, i_{46}, j_{46}
  173. Polygon((10, 5), (11, 5), (11, 6), (10, 6)) → qoly86, k_{46}, l_{46}, m_{46}, n_{46}
  174. Polygon((11, 5), (12, 5), (12, 6), (11, 6)) → qoly87, p_{46}, q_{46}, r_{46}, s_{46}
  175. Polygon((0, 6), (1, 6), (1, 7), (0, 7)) → qoly91, t_{46}, a_{47}, b_{47}, c_{47}
  176. Polygon((1, 6), (2, 6), (2, 7), (1, 7)) → qoly92, d_{47}, e_{47}, f_{47}, g_{47}
  177. Polygon((2, 6.000000000000001), (3, 6.000000000000001), (3, 7.000000000000001), (2, 7.000000000000001)) → qoly93, h_{47}, i_{47}, j_{47}, k_{47}
  178. Polygon((3, 6), (4, 6), (4, 7), (3, 7)) → qoly94, l_{47}, m_{47}, n_{47}, p_{47}
  179. Polygon((4, 6), (5, 6), (5, 7), (4, 7)) → qoly95, q_{47}, r_{47}, s_{47}, t_{47}
  180. Polygon((5, 6), (6, 6), (6, 7), (5, 7)) → qoly96, a_{48}, b_{48}, c_{48}, d_{48}
  181. Polygon((6, 6), (7, 6), (7, 7), (6, 7)) → qoly97, e_{48}, f_{48}, g_{48}, h_{48}
  182. Polygon((7, 6), (8, 6), (8, 7), (7, 7)) → qoly98, i_{48}, j_{48}, k_{48}, l_{48}
  183. Polygon((8, 6), (9, 6), (9, 7), (8, 7)) → qoly99, m_{48}, n_{48}, p_{48}, q_{48}
  184. Polygon((9, 6), (10, 6), (10, 7), (9, 7)) → qoly100, r_{48}, s_{48}, t_{48}, a_{49}
  185. Polygon((10, 6), (11, 6), (11, 7), (10, 7)) → qoly101, b_{49}, c_{49}, d_{49}, e_{49}
  186. Polygon((11, 6), (12, 6), (12, 7), (11, 7)) → qoly102, f_{49}, g_{49}, h_{49}, i_{49}
  187. Polygon((0, 7), (1, 7), (1, 8), (0, 8)) → qoly106, j_{49}, k_{49}, l_{49}, m_{49}
  188. Polygon((1, 7), (2, 7), (2, 8), (1, 8)) → qoly107, n_{49}, p_{49}, q_{49}, r_{49}
  189. Polygon((2, 7), (3, 7), (3, 8), (2, 8)) → qoly108, s_{49}, t_{49}, a_{50}, b_{50}
  190. Polygon((3, 7), (4, 7), (4, 8), (3, 8)) → qoly109, c_{50}, d_{50}, e_{50}, f_{50}
  191. Polygon((4, 7), (5, 7), (5, 8), (4, 8)) → qoly110, g_{50}, h_{50}, i_{50}, j_{50}
  192. Polygon((5, 7), (6, 7), (6, 8), (5, 8)) → qoly111, k_{50}, l_{50}, m_{50}, n_{50}
  193. Polygon((6, 7), (7, 7), (7, 8), (6, 8)) → qoly112, p_{50}, q_{50}, r_{50}, s_{50}
  194. Polygon((7, 7), (8, 7), (8, 8), (7, 8)) → qoly113, t_{50}, a_{51}, b_{51}, c_{51}
  195. Polygon((8, 7), (9, 7), (9, 8), (8, 8)) → qoly114, d_{51}, e_{51}, f_{51}, g_{51}
  196. Polygon((9, 7), (10, 7), (10, 8), (9, 8)) → qoly115, h_{51}, i_{51}, j_{51}, k_{51}
  197. Polygon((10, 7), (11, 7), (11, 8), (10, 8)) → qoly116, l_{51}, m_{51}, n_{51}, p_{51}
  198. Polygon((11, 7), (12, 7), (12, 8), (11, 8)) → qoly117, q_{51}, r_{51}, s_{51}, t_{51}
  199. Polygon((10, 9), (11, 9), (11, 10), (10, 10)) → poly13, k_2, l_2, m_2, n_2

AI Drawing Prompt Reference

Draw a grid of unit squares starting from the origin, spanning horizontally from 0 to 12 and vertically from 0 to 5. Each square has side length 1, aligned with the axes, arranged in a neat rectangular array. All squares are identical, adjacent without gaps, forming a 12 by 5 grid with clear boundaries and regular shape.
The prompt above was compiled from the original drawing commands and is for reference only.