Area of Abnormal Shapes: Lesson 4

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2016-03-23 02:10

This example demonstrates how to calculate the area of irregular shapes. Key mathematical concepts include geometric construction and coordinate geometry. Using GeoGebra commands such as Segment and Polygon, complex shapes can be constructed and their areas calculated. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

Segment(K, L) → k
Segment(L, M) → l
Segment(M, N) → m
Segment(N, O) → n
Segment(O, P) → p
Segment(P, K) → q
Segment(Q, R) → r
Segment(R, S) → s
Segment(S, T) → t
Segment(T, U) → a_1
Segment(U, Q) → b_1
Segment(V, W) → c_1
Segment(W, Z) → d_1
Segment(Z, A_1) → e_1
Segment(A_1, B_1) → f_1
Segment(B_1, C_1) → g_1
Segment(C_1, V) → h_1
Segment(E, F) → e
Segment(F, G) → f
Segment(G, H) → g
Segment(H, I) → h
Segment(I, J) → i
Segment(J, E) → j
Segment(D_1, E_1) → i_1
Segment(E_1, F_1) → j_1
Segment(F_1, G_1) → k_1
Segment(G_1, H_1) → l_1
Segment(H_1, I_1) → m_1
Segment(I_1, J_1) → n_1
Segment(J_1, K_1) → p_1
Segment(K_1, L_1) → q_1
Segment(L_1, M_1) → r_1
Segment(M_1, N_1) → s_1
Segment(N_1, O_1) → t_1
Segment(O_1, D_1) → a_2
Segment(P_1, Q_1) → b_2
Segment(R_1, Q_1) → c_2
Segment(R_1, S_1) → d_2
Segment(S_1, T_1) → e_2
Segment(T_1, U_1) → f_2
Segment(U_1, V_1) → g_2
Segment(V_1, W_1) → h_2
Segment(W_1, Z_1) → i_2
Segment(Z_1, A_2) → j_2
Segment(A_2, P_1) → k_2
Segment(B_2, C_2) → l_2
Segment(C_2, D_2) → m_2
Segment(D_2, E_2) → n_2
Segment(E_2, F_2) → p_2
Segment(F_2, G_2) → q_2
Segment(G_2, H_2) → r_2
Segment(H_2, I_2) → s_2
Segment(I_2, J_2) → t_2
Segment(J_2, K_2) → a_3
Segment(K_2, B_2) → b_3
Polygon(A, B, C, D) → poly1, a, b, c, d