added all files reserch

7.py

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+import numpy as np
+import matplotlib.pyplot as plt
+
+# Define the dimensions of the trapezoid
+base1 = 5
+base2 = 3
+height = 4
+
+# Calculate the width of the rectangle that can be cut from each side of the trapezoid
+rect_width = (base1 + base2) / 2
+
+# Cut off two rectangles from the trapezoid
+trap_points = np.array([[0, 0], [base1, 0], [base1, height], [0, height]])
+rect_points = np.array([[0, 0], [rect_width, 0], [rect_width, height], [0, height]])
+trap_cut_points = np.array([[rect_width, 0], [base2, 0], [base2, height], [rect_width, height]])
+
+# Plot the original trapezoid and cut off rectangles
+plt.fill(trap_points[:, 0], trap_points[:, 1], color='gray')
+plt.fill(rect_points[:, 0], rect_points[:, 1], color='blue')
+plt.fill(trap_cut_points[:, 0], trap_cut_points[:, 1], color='blue')
+
+# Calculate the size of the remaining triangle
+triangle_width = base2 - rect_width
+triangle_height = (base2 * height) / base1
+
+# Cut off the triangle from the trapezoid
+tri_points = np.array([[rect_width, 0], [base2, 0], [(base2 + rect_width) / 2, height]])
+tri_cut_points = np.array([[(base2 + rect_width) / 2, 0], [(base2 + rect_width) / 2, triangle_height], [rect_width, triangle_height]])
+
+# Plot the remaining triangle and cut off triangles
+plt.fill(tri_points[:, 0], tri_points[:, 1], color='green')
+plt.fill(tri_cut_points[:, 0], tri_cut_points[:, 1], color='green')
+
+# Calculate the size of the small squares
+small_square_size = min(rect_width, triangle_height) / 2
+
+# Cut off the small squares from the rectangle and triangle
+rect_small_squares_points = np.array([[0, 0], [small_square_size, 0], [small_square_size, small_square_size], [0, small_square_size]])
+tri_small_squares_points = np.array([[(base2 + rect_width) / 2 - small_square_size, small_square_size], [(base2 + rect_width) / 2, 0], [(base2 + rect_width) / 2 - small_square_size, 0]])
+
+# Plot the small squares
+plt.fill(rect_small_squares_points[:, 0], rect_small_squares_points[:, 1], color='red')
+plt.fill(tri_small_squares_points[:, 0], tri_small_squares_points[:, 1], color='red')
+
+# Show the plot
+plt.axis('scaled')
+plt.show()