Matematika

Pertanyaan

Luas bangun datar di
samping adalah ...
a. 204 cm#
b. 226 cm
11 cm
244 cm?
d. 246 cm?
20 cm
Luas bangun datar di samping adalah ... a. 204 cm# b. 226 cm 11 cm 244 cm? d. 246 cm? 20 cm

2 Jawaban

  • Langsung aja ya

    DB^2 = 17^2 - 8^2 = 289-64 = 225
    DB^2 = 225 = 15^2
    DB = 15 cm

    AE^2 = 15^2 - (20-11)^2 = 225 - 81 = 144
    AE^2 = 144 = 12^2
    AE = 12 cm

    LUAS = 1/2 × DC × DB + (AB+DE)×AE/2
    = 1/2 × 8 × 15 + (11+20)×12/2
    = 4×15 + 31 × 6
    = 60 + 186
    = 246 cm^2

    JWB. E
  • L = Luas ABDE + Luas BCD

    Luas BCD:
    BD = √BC² - CD²
    BD = √17² - 8²
    BD = √289 - 64
    BD = √225
    BD = 15 cm

    L = ½ × a × t
    L = ½ × 8 × 15
    L = 60 cm²

    Luas ABDE:
    t = √15² - (20 - 11)²
    t = √225 - 81
    t = √144
    t = 12 cm

    L = (a + b) × t / 2
    L = (11 + 20) × 12 / 2
    L = 186 cm²

    L = 60 + 186
    L = 246 cm² (D)