Geometry [IMO Level 1- Mathematics Olympiad (SOF) Class 4]: Questions 7 - 7 of 66

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Question number: 7

» Geometry

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Question

Find the perimeter of the shaded part of the given figure.

Polygon poly1Polygon poly1: Polygon [A, B, 4] Polygon poly1Polygon poly1: Polygon [A, B, 4] Polygon poly2Polygon poly2: Polygon [C, B, 4] Polygon poly2Polygon poly2: Polygon [C, B, 4] Polygon poly3Polygon poly3: Polygon [F, E, 4] Polygon poly3Polygon poly3: Polygon [F, E, 4] Polygon poly4Polygon poly4: Polygon [H, G, 4] Polygon poly4Polygon poly4: Polygon [H, G, 4] Polygon poly5Polygon poly5: Polygon [B, A, 4] Polygon poly5Polygon poly5: Polygon [B, A, 4] Polygon poly6Polygon poly6: Polygon [E, B, 4] Polygon poly7Polygon poly7: Polygon [G, E, 4] Polygon poly7Polygon poly7: Polygon [G, E, 4] Polygon poly8Polygon poly8: Polygon [I, G, 4] Polygon poly8Polygon poly8: Polygon [I, G, 4] Polygon poly9Polygon poly9: Polygon [L, K, 4] Polygon poly9Polygon poly9: Polygon [L, K, 4] Polygon poly10Polygon poly10: Polygon [N, L, 4] Polygon poly10Polygon poly10: Polygon [N, L, 4] Polygon poly11Polygon poly11: Polygon [P, N, 4] Polygon poly11Polygon poly11: Polygon [P, N, 4] Polygon poly12Polygon poly12: Polygon [R, P, 4] Polygon poly12Polygon poly12: Polygon [R, P, 4] Polygon poly13Polygon poly13: Polygon [J, I, 4] Polygon poly13Polygon poly13: Polygon [J, I, 4] Polygon poly14Polygon poly14: Polygon [I, R, 4] Polygon poly14Polygon poly14: Polygon [I, R, 4] Polygon poly15Polygon poly15: Polygon [R, B_1,4] Polygon poly15Polygon poly15: Polygon [R, B_1,4] Polygon poly16Polygon poly16: Polygon [T, S, 4] Polygon poly16Polygon poly16: Polygon [T, S, 4] Polygon poly17Polygon poly17: Polygon [V, T, 4] Polygon poly17Polygon poly17: Polygon [V, T, 4] Polygon poly18Polygon poly18: Polygon [Z, V, 4] Polygon poly18Polygon poly18: Polygon [Z, V, 4] Polygon poly19Polygon poly19: Polygon [B_1, Z, 4] Polygon poly20Polygon poly20: Polygon [G_1, B_1,4] Segment fSegment f: Segment [A, B] of Polygon poly1Segment gSegment g: Segment [B, C] of Polygon poly1Segment hSegment h: Segment [C, D] of Polygon poly1Segment iSegment i: Segment [D, A] of Polygon poly1Segment jSegment j: Segment [C, B] of Polygon poly2Segment kSegment k: Segment [B, E] of Polygon poly2Segment lSegment l: Segment [E, F] of Polygon poly2Segment mSegment m: Segment [F, C] of Polygon poly2Segment nSegment n: Segment [F, E] of Polygon poly3Segment pSegment p: Segment [E, G] of Polygon poly3Segment qSegment q: Segment [G, H] of Polygon poly3Segment rSegment r: Segment [H, F] of Polygon poly3Segment sSegment s: Segment [H, G] of Polygon poly4Segment tSegment t: Segment [G, I] of Polygon poly4Segment aSegment a: Segment [I, J] of Polygon poly4Segment bSegment b: Segment [J, H] of Polygon poly4Segment cSegment c: Segment [B, A] of Polygon poly5Segment dSegment d: Segment [A, K] of Polygon poly5Segment eSegment e: Segment [K, L] of Polygon poly5Segment f_1Segment f_1: Segment [L, B] of Polygon poly5Segment g_1Segment g_1: Segment [E, B] of Polygon poly6Segment h_1Segment h_1: Segment [B, M] of Polygon poly6Segment i_1Segment i_1: Segment [M, N] of Polygon poly6Segment j_1Segment j_1: Segment [N, E] of Polygon poly6Segment k_1Segment k_1: Segment [G, E] of Polygon poly7Segment l_1Segment l_1: Segment [E, O] of Polygon poly7Segment m_1Segment m_1: Segment [O, P] of Polygon poly7Segment n_1Segment n_1: Segment [P, G] of Polygon poly7Segment p_1Segment p_1: Segment [I, G] of Polygon poly8Segment q_1Segment q_1: Segment [G, Q] of Polygon poly8Segment r_1Segment r_1: Segment [Q, R] of Polygon poly8Segment s_1Segment s_1: Segment [R, I] of Polygon poly8Segment t_1Segment t_1: Segment [L, K] of Polygon poly9Segment a_1Segment a_1: Segment [K, S] of Polygon poly9Segment b_1Segment b_1: Segment [S, T] of Polygon poly9Segment c_1Segment c_1: Segment [T, L] of Polygon poly9Segment d_1Segment d_1: Segment [N, L] of Polygon poly10Segment e_1Segment e_1: Segment [L, U] of Polygon poly10Segment f_2Segment f_2: Segment [U, V] of Polygon poly10Segment g_2Segment g_2: Segment [V, N] of Polygon poly10Segment h_2Segment h_2: Segment [P, N] of Polygon poly11Segment i_2Segment i_2: Segment [N, W] of Polygon poly11Segment j_2Segment j_2: Segment [W, Z] of Polygon poly11Segment k_2Segment k_2: Segment [Z, P] of Polygon poly11Segment l_2Segment l_2: Segment [R, P] of Polygon poly12Segment m_2Segment m_2: Segment [P, A_1] of Polygon poly12Segment n_2Segment n_2: Segment [A_1, B_1] of Polygon poly12Segment p_2Segment p_2: Segment [B_1, R] of Polygon poly12Segment q_2Segment q_2: Segment [J, I] of Polygon poly13Segment r_2Segment r_2: Segment [I, C_1] of Polygon poly13Segment s_2Segment s_2: Segment [C_1, D_1] of Polygon poly13Segment t_2Segment t_2: Segment [D_1, J] of Polygon poly13Segment a_2Segment a_2: Segment [I, R] of Polygon poly14Segment b_2Segment b_2: Segment [R, E_1] of Polygon poly14Segment c_2Segment c_2: Segment [E_1, F_1] of Polygon poly14Segment d_2Segment d_2: Segment [F_1, I] of Polygon poly14Segment e_2Segment e_2: Segment [R, B_1] of Polygon poly15Segment f_3Segment f_3: Segment [B_1, G_1] of Polygon poly15Segment g_3Segment g_3: Segment [G_1, H_1] of Polygon poly15Segment h_3Segment h_3: Segment [H_1, R] of Polygon poly15Segment i_3Segment i_3: Segment [T, S] of Polygon poly16Segment j_3Segment j_3: Segment [S, I_1] of Polygon poly16Segment k_3Segment k_3: Segment [I_1, J_1] of Polygon poly16Segment l_3Segment l_3: Segment [J_1, T] of Polygon poly16Segment m_3Segment m_3: Segment [V, T] of Polygon poly17Segment n_3Segment n_3: Segment [T, K_1] of Polygon poly17Segment p_3Segment p_3: Segment [K_1, L_1] of Polygon poly17Segment q_3Segment q_3: Segment [L_1, V] of Polygon poly17Segment r_3Segment r_3: Segment [Z, V] of Polygon poly18Segment s_3Segment s_3: Segment [V, M_1] of Polygon poly18Segment t_3Segment t_3: Segment [M_1, N_1] of Polygon poly18Segment a_3Segment a_3: Segment [N_1, Z] of Polygon poly18Segment b_3Segment b_3: Segment [B_1, Z] of Polygon poly19Segment c_3Segment c_3: Segment [Z, O_1] of Polygon poly19Segment d_3Segment d_3: Segment [O_1, P_1] of Polygon poly19Segment e_3Segment e_3: Segment [P_1, B_1] of Polygon poly19Segment f_4Segment f_4: Segment [G_1, B_1] of Polygon poly20Segment g_4Segment g_4: Segment [B_1, Q_1] of Polygon poly20Segment h_4Segment h_4: Segment [Q_1, R_1] of Polygon poly20Segment i_4Segment i_4: Segment [R_1, G_1] of Polygon poly20Segment j_4Segment j_4: Segment [S_1, T_1] Segment k_4Segment k_4: Segment [U_1, V_1] Point S_1S_1 = (-3.48,4.24) Point S_1S_1 = (-3.48,4.24) Point T_1T_1 = (-3.48,3.64) Point T_1T_1 = (-3.48,3.64) Point U_1U_1 = (-3.18,4.62) Point U_1U_1 = (-3.18,4.62) Point V_1V_1 = (-2.6,4.62) Point V_1V_1 = (-2.6,4.62) 2 cmtext1 = “2 cm”2 cmtext1_1 = “2 cm”

Figure Made by Many Squares

Choices

Choice (4)Response

a.

20 cm

b.

12 cm

c.

44 cm

d.

46 cm

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