Matematika

Pertanyaan

pliiiiissssss yang bisa mohon dijawab no 35.
beserta caranya
pliiiiissssss yang bisa mohon dijawab no 35. beserta caranya

2 Jawaban

  • PERSEGI ABCD
    AB = BC = CD = DA = 12 cm
    CG : GB = 1 : 2
    CF = 2 cm
    L segilima AEGCD = ...??

    CG : GB = 1 : 2

    CG = 1/(1+2) × 12
    CG = 1/3 × 12
    CG = 12/3
    CG = 4 cm

    GB = 2/(1+2) × 12
    GB = 2/3 × 12
    GB = 24/3
    GB = 8 cm

    CG/GB = CF/BE
    4/8 = 2/BE
    BE = (2×8)/4
    BE = 16/4
    BE = 4 cm

    L segilima AEGCD = L persegi ABCD - L segitiga BEG
    L segilima AEGCD = AB^2 - (1/2 × BE × GB)
    L segilima AEGCD = 12^2 - (1/2 × 4 × 8)
    L segilima AEGCD = (12 × 12) - (1/2 × 4 × 8)
    L segilima AEGCD = 144 - 16
    L segilima AEGCD = 128 cm^2

    Jadi luas segilima AEGCD adalah 128 cm^2 (C)
  • CG = BE

    perbandingan =
    CG = 1
    GB = 2
    seluruh perbandingan = 1+2 = 3

    CG = 1/3 × 12 = 4cm
    GB = 2/3 × 12 = 8cm

    luas segilima =
    (S×S) - (a × t × 1/2) =
    (12×12) - ( 4 × 8 × 1/2 ) =
    144 - 16 =
    128cm^2 { C }

    #semoga membantu....